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Finding the Fourth Proportional to 268,148.70, 402,392.46 and 149,897.58

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Solution

The fourth proportional to 268,148.70, 402,392.46 and 149,897.58 is: 224,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,148.70 : 402,392.46 = 149,897.58 : x
  2. Step 2: Convert to fraction form
    268,148.70/402,392.46 = 149,897.58/x
  3. Step 3: Cross multiply
    268,148.70x = 402,392.46 × 149,897.58
  4. Step 4: Simplify right side
    268,148.70x = 60,317,655,964.25
  5. Step 5: Solve for x
    x = 60,317,655,964.25/268,148.70
  6. Step 6: Final answer
    x = 224,941.07

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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.