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Finding the Fourth Proportional to 160,063.15, 240,024 and 85,165.54

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Solution

The fourth proportional to 160,063.15, 240,024 and 85,165.54 is: 127,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,063.15 : 240,024 = 85,165.54 : x
  2. Step 2: Convert to fraction form
    160,063.15/240,024 = 85,165.54/x
  3. Step 3: Cross multiply
    160,063.15x = 240,024 × 85,165.54
  4. Step 4: Simplify right side
    160,063.15x = 20,441,773,572.96
  5. Step 5: Solve for x
    x = 20,441,773,572.96/160,063.15
  6. Step 6: Final answer
    x = 127,710.68

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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.