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Finding the Fourth Proportional to 261,264.98, 360,549.62 and 146,569.04

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Solution

The fourth proportional to 261,264.98, 360,549.62 and 146,569.04 is: 202,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,264.98 : 360,549.62 = 146,569.04 : x
  2. Step 2: Convert to fraction form
    261,264.98/360,549.62 = 146,569.04/x
  3. Step 3: Cross multiply
    261,264.98x = 360,549.62 × 146,569.04
  4. Step 4: Simplify right side
    261,264.98x = 52,845,411,675.76
  5. Step 5: Solve for x
    x = 52,845,411,675.76/261,264.98
  6. Step 6: Final answer
    x = 202,267.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.