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Finding the Fourth Proportional to 242,197.28, 334,278.50 and 160,381.32

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Solution

The fourth proportional to 242,197.28, 334,278.50 and 160,381.32 is: 221,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,197.28 : 334,278.50 = 160,381.32 : x
  2. Step 2: Convert to fraction form
    242,197.28/334,278.50 = 160,381.32/x
  3. Step 3: Cross multiply
    242,197.28x = 334,278.50 × 160,381.32
  4. Step 4: Simplify right side
    242,197.28x = 53,612,026,275.71
  5. Step 5: Solve for x
    x = 53,612,026,275.71/242,197.28
  6. Step 6: Final answer
    x = 221,356.85

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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.