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Finding the Fourth Proportional to 150,569.60, 225,854.40 and 106,246.40

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Solution

The fourth proportional to 150,569.60, 225,854.40 and 106,246.40 is: 159,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,569.60 : 225,854.40 = 106,246.40 : x
  2. Step 2: Convert to fraction form
    150,569.60/225,854.40 = 106,246.40/x
  3. Step 3: Cross multiply
    150,569.60x = 225,854.40 × 106,246.40
  4. Step 4: Simplify right side
    150,569.60x = 23,996,216,924.16
  5. Step 5: Solve for x
    x = 23,996,216,924.16/150,569.60
  6. Step 6: Final answer
    x = 159,369.60

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Why These Related Problems?

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