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Finding the Fourth Proportional to 213,115.60, 319,932.60 and 160,109.20

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Solution

The fourth proportional to 213,115.60, 319,932.60 and 160,109.20 is: 240,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,115.60 : 319,932.60 = 160,109.20 : x
  2. Step 2: Convert to fraction form
    213,115.60/319,932.60 = 160,109.20/x
  3. Step 3: Cross multiply
    213,115.60x = 319,932.60 × 160,109.20
  4. Step 4: Simplify right side
    213,115.60x = 51,224,152,639.92
  5. Step 5: Solve for x
    x = 51,224,152,639.92/213,115.60
  6. Step 6: Final answer
    x = 240,358.53

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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.