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Finding the Fourth Proportional to 152,886.60, 229,329.90 and 106,230.60

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Solution

The fourth proportional to 152,886.60, 229,329.90 and 106,230.60 is: 159,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,886.60 : 229,329.90 = 106,230.60 : x
  2. Step 2: Convert to fraction form
    152,886.60/229,329.90 = 106,230.60/x
  3. Step 3: Cross multiply
    152,886.60x = 229,329.90 × 106,230.60
  4. Step 4: Simplify right side
    152,886.60x = 24,361,852,874.94
  5. Step 5: Solve for x
    x = 24,361,852,874.94/152,886.60
  6. Step 6: Final answer
    x = 159,345.90

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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.