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Finding the Fourth Proportional to 177,792.40, 266,681.46 and 97,988.56

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Solution

The fourth proportional to 177,792.40, 266,681.46 and 97,988.56 is: 146,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,792.40 : 266,681.46 = 97,988.56 : x
  2. Step 2: Convert to fraction form
    177,792.40/266,681.46 = 97,988.56/x
  3. Step 3: Cross multiply
    177,792.40x = 266,681.46 × 97,988.56
  4. Step 4: Simplify right side
    177,792.40x = 26,131,732,244.10
  5. Step 5: Solve for x
    x = 26,131,732,244.10/177,792.40
  6. Step 6: Final answer
    x = 146,978.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.