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Finding the Fourth Proportional to 147,294.08, 203,201.16 and 99,530

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Solution

The fourth proportional to 147,294.08, 203,201.16 and 99,530 is: 137,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,294.08 : 203,201.16 = 99,530 : x
  2. Step 2: Convert to fraction form
    147,294.08/203,201.16 = 99,530/x
  3. Step 3: Cross multiply
    147,294.08x = 203,201.16 × 99,530
  4. Step 4: Simplify right side
    147,294.08x = 20,224,611,454.80
  5. Step 5: Solve for x
    x = 20,224,611,454.80/147,294.08
  6. Step 6: Final answer
    x = 137,307.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.