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Finding the Fourth Proportional to 282,077.64, 423,049.86 and 132,421.32

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Solution

The fourth proportional to 282,077.64, 423,049.86 and 132,421.32 is: 198,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,077.64 : 423,049.86 = 132,421.32 : x
  2. Step 2: Convert to fraction form
    282,077.64/423,049.86 = 132,421.32/x
  3. Step 3: Cross multiply
    282,077.64x = 423,049.86 × 132,421.32
  4. Step 4: Simplify right side
    282,077.64x = 56,020,820,887.02
  5. Step 5: Solve for x
    x = 56,020,820,887.02/282,077.64
  6. Step 6: Final answer
    x = 198,600.71

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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.