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Finding the Fourth Proportional to 422,187.31, 633,282.27 and 102,337.93

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Solution

The fourth proportional to 422,187.31, 633,282.27 and 102,337.93 is: 153,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,187.31 : 633,282.27 = 102,337.93 : x
  2. Step 2: Convert to fraction form
    422,187.31/633,282.27 = 102,337.93/x
  3. Step 3: Cross multiply
    422,187.31x = 633,282.27 × 102,337.93
  4. Step 4: Simplify right side
    422,187.31x = 64,808,796,617.50
  5. Step 5: Solve for x
    x = 64,808,796,617.50/422,187.31
  6. Step 6: Final answer
    x = 153,507.21

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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.