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Finding the Fourth Proportional to 543,320.70, 814,981.05 and 144,023.10

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Solution

The fourth proportional to 543,320.70, 814,981.05 and 144,023.10 is: 216,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,320.70 : 814,981.05 = 144,023.10 : x
  2. Step 2: Convert to fraction form
    543,320.70/814,981.05 = 144,023.10/x
  3. Step 3: Cross multiply
    543,320.70x = 814,981.05 × 144,023.10
  4. Step 4: Simplify right side
    543,320.70x = 117,376,097,262.26
  5. Step 5: Solve for x
    x = 117,376,097,262.26/543,320.70
  6. Step 6: Final answer
    x = 216,034.65

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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.