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Finding the Fourth Proportional to 242,194.28, 334,274.36 and 160,378.31

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Solution

The fourth proportional to 242,194.28, 334,274.36 and 160,378.31 is: 221,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,194.28 : 334,274.36 = 160,378.31 : x
  2. Step 2: Convert to fraction form
    242,194.28/334,274.36 = 160,378.31/x
  3. Step 3: Cross multiply
    242,194.28x = 334,274.36 × 160,378.31
  4. Step 4: Simplify right side
    242,194.28x = 53,610,356,966.93
  5. Step 5: Solve for x
    x = 53,610,356,966.93/242,194.28
  6. Step 6: Final answer
    x = 221,352.70

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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.