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Finding the Fourth Proportional to 177,683.20, 266,354.88 and 65,337.28

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Solution

The fourth proportional to 177,683.20, 266,354.88 and 65,337.28 is: 97,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,683.20 : 266,354.88 = 65,337.28 : x
  2. Step 2: Convert to fraction form
    177,683.20/266,354.88 = 65,337.28/x
  3. Step 3: Cross multiply
    177,683.20x = 266,354.88 × 65,337.28
  4. Step 4: Simplify right side
    177,683.20x = 17,402,903,373.93
  5. Step 5: Solve for x
    x = 17,402,903,373.93/177,683.20
  6. Step 6: Final answer
    x = 97,943.44

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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.