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Finding the Fourth Proportional to 145,432.17, 218,141.91 and 45,590.09

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Solution

The fourth proportional to 145,432.17, 218,141.91 and 45,590.09 is: 68,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,432.17 : 218,141.91 = 45,590.09 : x
  2. Step 2: Convert to fraction form
    145,432.17/218,141.91 = 45,590.09/x
  3. Step 3: Cross multiply
    145,432.17x = 218,141.91 × 45,590.09
  4. Step 4: Simplify right side
    145,432.17x = 9,945,108,218.96
  5. Step 5: Solve for x
    x = 9,945,108,218.96/145,432.17
  6. Step 6: Final answer
    x = 68,383.14

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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.