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Finding the Fourth Proportional to 282,709.85, 423,455.80 and 132,725.39

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Solution

The fourth proportional to 282,709.85, 423,455.80 and 132,725.39 is: 198,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,709.85 : 423,455.80 = 132,725.39 : x
  2. Step 2: Convert to fraction form
    282,709.85/423,455.80 = 132,725.39/x
  3. Step 3: Cross multiply
    282,709.85x = 423,455.80 × 132,725.39
  4. Step 4: Simplify right side
    282,709.85x = 56,203,334,002.53
  5. Step 5: Solve for x
    x = 56,203,334,002.53/282,709.85
  6. Step 6: Final answer
    x = 198,802.18

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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.