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Finding the Fourth Proportional to 242,194.78, 334,275.05 and 160,378.82

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Solution

The fourth proportional to 242,194.78, 334,275.05 and 160,378.82 is: 221,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,194.78 : 334,275.05 = 160,378.82 : x
  2. Step 2: Convert to fraction form
    242,194.78/334,275.05 = 160,378.82/x
  3. Step 3: Cross multiply
    242,194.78x = 334,275.05 × 160,378.82
  4. Step 4: Simplify right side
    242,194.78x = 53,610,635,601.17
  5. Step 5: Solve for x
    x = 53,610,635,601.17/242,194.78
  6. Step 6: Final answer
    x = 221,353.39

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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.