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Finding the Fourth Proportional to 282,595.56, 423,549.02 and 156,230.76

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Solution

The fourth proportional to 282,595.56, 423,549.02 and 156,230.76 is: 234,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,595.56 : 423,549.02 = 156,230.76 : x
  2. Step 2: Convert to fraction form
    282,595.56/423,549.02 = 156,230.76/x
  3. Step 3: Cross multiply
    282,595.56x = 423,549.02 × 156,230.76
  4. Step 4: Simplify right side
    282,595.56x = 66,171,385,291.86
  5. Step 5: Solve for x
    x = 66,171,385,291.86/282,595.56
  6. Step 6: Final answer
    x = 234,155.79

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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.