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Finding the Fourth Proportional to 177,807.12, 266,737.20 and 65,478.69

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Solution

The fourth proportional to 177,807.12, 266,737.20 and 65,478.69 is: 98,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,807.12 : 266,737.20 = 65,478.69 : x
  2. Step 2: Convert to fraction form
    177,807.12/266,737.20 = 65,478.69/x
  3. Step 3: Cross multiply
    177,807.12x = 266,737.20 × 65,478.69
  4. Step 4: Simplify right side
    177,807.12x = 17,465,602,430.27
  5. Step 5: Solve for x
    x = 17,465,602,430.27/177,807.12
  6. Step 6: Final answer
    x = 98,227.80

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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.