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Finding the Fourth Proportional to 156,711, 216,261.18 and 89,643

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Solution

The fourth proportional to 156,711, 216,261.18 and 89,643 is: 123,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,711 : 216,261.18 = 89,643 : x
  2. Step 2: Convert to fraction form
    156,711/216,261.18 = 89,643/x
  3. Step 3: Cross multiply
    156,711x = 216,261.18 × 89,643
  4. Step 4: Simplify right side
    156,711x = 19,386,300,958.74
  5. Step 5: Solve for x
    x = 19,386,300,958.74/156,711
  6. Step 6: Final answer
    x = 123,707.34

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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.