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Finding the Fourth Proportional to 160,484.72, 221,432.28 and 103,154

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Solution

The fourth proportional to 160,484.72, 221,432.28 and 103,154 is: 142,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,484.72 : 221,432.28 = 103,154 : x
  2. Step 2: Convert to fraction form
    160,484.72/221,432.28 = 103,154/x
  3. Step 3: Cross multiply
    160,484.72x = 221,432.28 × 103,154
  4. Step 4: Simplify right side
    160,484.72x = 22,841,625,411.12
  5. Step 5: Solve for x
    x = 22,841,625,411.12/160,484.72
  6. Step 6: Final answer
    x = 142,328.97

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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.