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Finding the Fourth Proportional to 110,439.48, 152,329.50 and 83,495.64

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Solution

The fourth proportional to 110,439.48, 152,329.50 and 83,495.64 is: 115,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,439.48 : 152,329.50 = 83,495.64 : x
  2. Step 2: Convert to fraction form
    110,439.48/152,329.50 = 83,495.64/x
  3. Step 3: Cross multiply
    110,439.48x = 152,329.50 × 83,495.64
  4. Step 4: Simplify right side
    110,439.48x = 12,718,849,093.38
  5. Step 5: Solve for x
    x = 12,718,849,093.38/110,439.48
  6. Step 6: Final answer
    x = 115,165.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.