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Finding the Fourth Proportional to 282,898.96, 423,961.98 and 156,351.76

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Solution

The fourth proportional to 282,898.96, 423,961.98 and 156,351.76 is: 234,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,898.96 : 423,961.98 = 156,351.76 : x
  2. Step 2: Convert to fraction form
    282,898.96/423,961.98 = 156,351.76/x
  3. Step 3: Cross multiply
    282,898.96x = 423,961.98 × 156,351.76
  4. Step 4: Simplify right side
    282,898.96x = 66,287,201,746.08
  5. Step 5: Solve for x
    x = 66,287,201,746.08/282,898.96
  6. Step 6: Final answer
    x = 234,314.05

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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.