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Finding the Fourth Proportional to 472,197.94, 708,195.92 and 135,148.10

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Solution

The fourth proportional to 472,197.94, 708,195.92 and 135,148.10 is: 202,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,197.94 : 708,195.92 = 135,148.10 : x
  2. Step 2: Convert to fraction form
    472,197.94/708,195.92 = 135,148.10/x
  3. Step 3: Cross multiply
    472,197.94x = 708,195.92 × 135,148.10
  4. Step 4: Simplify right side
    472,197.94x = 95,711,333,015.75
  5. Step 5: Solve for x
    x = 95,711,333,015.75/472,197.94
  6. Step 6: Final answer
    x = 202,693.25

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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.