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Finding the Fourth Proportional to 144,314.80, 216,034.80 and 104,948.80

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Solution

The fourth proportional to 144,314.80, 216,034.80 and 104,948.80 is: 157,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,314.80 : 216,034.80 = 104,948.80 : x
  2. Step 2: Convert to fraction form
    144,314.80/216,034.80 = 104,948.80/x
  3. Step 3: Cross multiply
    144,314.80x = 216,034.80 × 104,948.80
  4. Step 4: Simplify right side
    144,314.80x = 22,672,593,018.24
  5. Step 5: Solve for x
    x = 22,672,593,018.24/144,314.80
  6. Step 6: Final answer
    x = 157,105.11

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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.