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Finding the Fourth Proportional to 261,411.90, 360,748.62 and 146,674.74

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Solution

The fourth proportional to 261,411.90, 360,748.62 and 146,674.74 is: 202,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,411.90 : 360,748.62 = 146,674.74 : x
  2. Step 2: Convert to fraction form
    261,411.90/360,748.62 = 146,674.74/x
  3. Step 3: Cross multiply
    261,411.90x = 360,748.62 × 146,674.74
  4. Step 4: Simplify right side
    261,411.90x = 52,912,710,043.86
  5. Step 5: Solve for x
    x = 52,912,710,043.86/261,411.90
  6. Step 6: Final answer
    x = 202,411.25

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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.