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Finding the Fourth Proportional to 242,032.30, 363,048.45 and 153,385.90

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Solution

The fourth proportional to 242,032.30, 363,048.45 and 153,385.90 is: 230,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,032.30 : 363,048.45 = 153,385.90 : x
  2. Step 2: Convert to fraction form
    242,032.30/363,048.45 = 153,385.90/x
  3. Step 3: Cross multiply
    242,032.30x = 363,048.45 × 153,385.90
  4. Step 4: Simplify right side
    242,032.30x = 55,686,513,246.86
  5. Step 5: Solve for x
    x = 55,686,513,246.86/242,032.30
  6. Step 6: Final answer
    x = 230,078.85

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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.