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Finding the Fourth Proportional to 165,732, 228,710.17 and 90,280.50

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Solution

The fourth proportional to 165,732, 228,710.17 and 90,280.50 is: 124,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,732 : 228,710.17 = 90,280.50 : x
  2. Step 2: Convert to fraction form
    165,732/228,710.17 = 90,280.50/x
  3. Step 3: Cross multiply
    165,732x = 228,710.17 × 90,280.50
  4. Step 4: Simplify right side
    165,732x = 20,648,068,502.69
  5. Step 5: Solve for x
    x = 20,648,068,502.69/165,732
  6. Step 6: Final answer
    x = 124,587.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.