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Finding the Fourth Proportional to 268,322.67, 402,594.10 and 141,929.10

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Solution

The fourth proportional to 268,322.67, 402,594.10 and 141,929.10 is: 212,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,322.67 : 402,594.10 = 141,929.10 : x
  2. Step 2: Convert to fraction form
    268,322.67/402,594.10 = 141,929.10/x
  3. Step 3: Cross multiply
    268,322.67x = 402,594.10 × 141,929.10
  4. Step 4: Simplify right side
    268,322.67x = 57,139,817,923.49
  5. Step 5: Solve for x
    x = 57,139,817,923.49/268,322.67
  6. Step 6: Final answer
    x = 212,951.88

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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.