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Finding the Fourth Proportional to 165,081.64, 247,617.72 and 46,752.76

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Solution

The fourth proportional to 165,081.64, 247,617.72 and 46,752.76 is: 70,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,081.64 : 247,617.72 = 46,752.76 : x
  2. Step 2: Convert to fraction form
    165,081.64/247,617.72 = 46,752.76/x
  3. Step 3: Cross multiply
    165,081.64x = 247,617.72 × 46,752.76
  4. Step 4: Simplify right side
    165,081.64x = 11,576,811,834.91
  5. Step 5: Solve for x
    x = 11,576,811,834.91/165,081.64
  6. Step 6: Final answer
    x = 70,127.80

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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.