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Finding the Fourth Proportional to 261,658.47, 361,084.32 and 146,938.17

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Solution

The fourth proportional to 261,658.47, 361,084.32 and 146,938.17 is: 202,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,658.47 : 361,084.32 = 146,938.17 : x
  2. Step 2: Convert to fraction form
    261,658.47/361,084.32 = 146,938.17/x
  3. Step 3: Cross multiply
    261,658.47x = 361,084.32 × 146,938.17
  4. Step 4: Simplify right side
    261,658.47x = 53,057,069,196.49
  5. Step 5: Solve for x
    x = 53,057,069,196.49/261,658.47
  6. Step 6: Final answer
    x = 202,772.22

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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.