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Finding the Fourth Proportional to 160,006.88, 220,643.76 and 137,420.57

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Solution

The fourth proportional to 160,006.88, 220,643.76 and 137,420.57 is: 189,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,006.88 : 220,643.76 = 137,420.57 : x
  2. Step 2: Convert to fraction form
    160,006.88/220,643.76 = 137,420.57/x
  3. Step 3: Cross multiply
    160,006.88x = 220,643.76 × 137,420.57
  4. Step 4: Simplify right side
    160,006.88x = 30,320,992,333.08
  5. Step 5: Solve for x
    x = 30,320,992,333.08/160,006.88
  6. Step 6: Final answer
    x = 189,498.05

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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.