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Finding the Fourth Proportional to 536,917.16, 805,357.10 and 137,561.24

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Solution

The fourth proportional to 536,917.16, 805,357.10 and 137,561.24 is: 206,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,917.16 : 805,357.10 = 137,561.24 : x
  2. Step 2: Convert to fraction form
    536,917.16/805,357.10 = 137,561.24/x
  3. Step 3: Cross multiply
    536,917.16x = 805,357.10 × 137,561.24
  4. Step 4: Simplify right side
    536,917.16x = 110,785,921,318.80
  5. Step 5: Solve for x
    x = 110,785,921,318.80/536,917.16
  6. Step 6: Final answer
    x = 206,337.08

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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.