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Finding the Fourth Proportional to 224,562.64, 336,948.96 and 98,186.48

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Solution

The fourth proportional to 224,562.64, 336,948.96 and 98,186.48 is: 147,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,562.64 : 336,948.96 = 98,186.48 : x
  2. Step 2: Convert to fraction form
    224,562.64/336,948.96 = 98,186.48/x
  3. Step 3: Cross multiply
    224,562.64x = 336,948.96 × 98,186.48
  4. Step 4: Simplify right side
    224,562.64x = 33,083,832,322.06
  5. Step 5: Solve for x
    x = 33,083,832,322.06/224,562.64
  6. Step 6: Final answer
    x = 147,325.63

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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.