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Finding the Fourth Proportional to 239,705.86, 359,719.31 and 99,464.62

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Solution

The fourth proportional to 239,705.86, 359,719.31 and 99,464.62 is: 149,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,705.86 : 359,719.31 = 99,464.62 : x
  2. Step 2: Convert to fraction form
    239,705.86/359,719.31 = 99,464.62/x
  3. Step 3: Cross multiply
    239,705.86x = 359,719.31 × 99,464.62
  4. Step 4: Simplify right side
    239,705.86x = 35,779,344,801.13
  5. Step 5: Solve for x
    x = 35,779,344,801.13/239,705.86
  6. Step 6: Final answer
    x = 149,263.54

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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.