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Finding the Fourth Proportional to 162,585.80, 243,904 and 96,073.86

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Solution

The fourth proportional to 162,585.80, 243,904 and 96,073.86 is: 144,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,585.80 : 243,904 = 96,073.86 : x
  2. Step 2: Convert to fraction form
    162,585.80/243,904 = 96,073.86/x
  3. Step 3: Cross multiply
    162,585.80x = 243,904 × 96,073.86
  4. Step 4: Simplify right side
    162,585.80x = 23,432,798,749.44
  5. Step 5: Solve for x
    x = 23,432,798,749.44/162,585.80
  6. Step 6: Final answer
    x = 144,125.74

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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.