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Finding the Fourth Proportional to 153,280.60, 229,920.90 and 106,041.40

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Solution

The fourth proportional to 153,280.60, 229,920.90 and 106,041.40 is: 159,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,280.60 : 229,920.90 = 106,041.40 : x
  2. Step 2: Convert to fraction form
    153,280.60/229,920.90 = 106,041.40/x
  3. Step 3: Cross multiply
    153,280.60x = 229,920.90 × 106,041.40
  4. Step 4: Simplify right side
    153,280.60x = 24,381,134,125.26
  5. Step 5: Solve for x
    x = 24,381,134,125.26/153,280.60
  6. Step 6: Final answer
    x = 159,062.10

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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.