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Finding the Fourth Proportional to 153,067.60, 229,601.40 and 106,411.60

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Solution

The fourth proportional to 153,067.60, 229,601.40 and 106,411.60 is: 159,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,067.60 : 229,601.40 = 106,411.60 : x
  2. Step 2: Convert to fraction form
    153,067.60/229,601.40 = 106,411.60/x
  3. Step 3: Cross multiply
    153,067.60x = 229,601.40 × 106,411.60
  4. Step 4: Simplify right side
    153,067.60x = 24,432,252,336.24
  5. Step 5: Solve for x
    x = 24,432,252,336.24/153,067.60
  6. Step 6: Final answer
    x = 159,617.40

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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.