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Finding the Fourth Proportional to 261,436.47, 360,752.67 and 146,700.09

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Solution

The fourth proportional to 261,436.47, 360,752.67 and 146,700.09 is: 202,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,436.47 : 360,752.67 = 146,700.09 : x
  2. Step 2: Convert to fraction form
    261,436.47/360,752.67 = 146,700.09/x
  3. Step 3: Cross multiply
    261,436.47x = 360,752.67 × 146,700.09
  4. Step 4: Simplify right side
    261,436.47x = 52,922,449,156.74
  5. Step 5: Solve for x
    x = 52,922,449,156.74/261,436.47
  6. Step 6: Final answer
    x = 202,429.48

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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.