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Finding the Fourth Proportional to 160,286.40, 240,429.60 and 77,342.40

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Solution

The fourth proportional to 160,286.40, 240,429.60 and 77,342.40 is: 116,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,286.40 : 240,429.60 = 77,342.40 : x
  2. Step 2: Convert to fraction form
    160,286.40/240,429.60 = 77,342.40/x
  3. Step 3: Cross multiply
    160,286.40x = 240,429.60 × 77,342.40
  4. Step 4: Simplify right side
    160,286.40x = 18,595,402,295.04
  5. Step 5: Solve for x
    x = 18,595,402,295.04/160,286.40
  6. Step 6: Final answer
    x = 116,013.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.