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Finding the Fourth Proportional to 160,038.32, 220,755.27 and 102,658.32

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Solution

The fourth proportional to 160,038.32, 220,755.27 and 102,658.32 is: 141,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,038.32 : 220,755.27 = 102,658.32 : x
  2. Step 2: Convert to fraction form
    160,038.32/220,755.27 = 102,658.32/x
  3. Step 3: Cross multiply
    160,038.32x = 220,755.27 × 102,658.32
  4. Step 4: Simplify right side
    160,038.32x = 22,662,365,534.32
  5. Step 5: Solve for x
    x = 22,662,365,534.32/160,038.32
  6. Step 6: Final answer
    x = 141,605.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.