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Finding the Fourth Proportional to 165,384.32, 228,233.16 and 93,762.90

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Solution

The fourth proportional to 165,384.32, 228,233.16 and 93,762.90 is: 129,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,384.32 : 228,233.16 = 93,762.90 : x
  2. Step 2: Convert to fraction form
    165,384.32/228,233.16 = 93,762.90/x
  3. Step 3: Cross multiply
    165,384.32x = 228,233.16 × 93,762.90
  4. Step 4: Simplify right side
    165,384.32x = 21,399,802,957.76
  5. Step 5: Solve for x
    x = 21,399,802,957.76/165,384.32
  6. Step 6: Final answer
    x = 129,394.39

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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.