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Finding the Fourth Proportional to 160,757.64, 241,117.86 and 42,438.24

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Solution

The fourth proportional to 160,757.64, 241,117.86 and 42,438.24 is: 63,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,757.64 : 241,117.86 = 42,438.24 : x
  2. Step 2: Convert to fraction form
    160,757.64/241,117.86 = 42,438.24/x
  3. Step 3: Cross multiply
    160,757.64x = 241,117.86 × 42,438.24
  4. Step 4: Simplify right side
    160,757.64x = 10,232,617,610.97
  5. Step 5: Solve for x
    x = 10,232,617,610.97/160,757.64
  6. Step 6: Final answer
    x = 63,652.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.