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Finding the Fourth Proportional to 224,657.46, 336,695.31 and 91,381.86

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Solution

The fourth proportional to 224,657.46, 336,695.31 and 91,381.86 is: 136,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,657.46 : 336,695.31 = 91,381.86 : x
  2. Step 2: Convert to fraction form
    224,657.46/336,695.31 = 91,381.86/x
  3. Step 3: Cross multiply
    224,657.46x = 336,695.31 × 91,381.86
  4. Step 4: Simplify right side
    224,657.46x = 30,767,843,681.08
  5. Step 5: Solve for x
    x = 30,767,843,681.08/224,657.46
  6. Step 6: Final answer
    x = 136,954.47

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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.