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Finding the Fourth Proportional to 144,062.69, 216,204.32 and 65,232.27

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Solution

The fourth proportional to 144,062.69, 216,204.32 and 65,232.27 is: 97,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,062.69 : 216,204.32 = 65,232.27 : x
  2. Step 2: Convert to fraction form
    144,062.69/216,204.32 = 65,232.27/x
  3. Step 3: Cross multiply
    144,062.69x = 216,204.32 × 65,232.27
  4. Step 4: Simplify right side
    144,062.69x = 14,103,498,740.49
  5. Step 5: Solve for x
    x = 14,103,498,740.49/144,062.69
  6. Step 6: Final answer
    x = 97,898.35

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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.