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Finding the Fourth Proportional to 97,930.40, 147,049.20 and 56,458.40

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Solution

The fourth proportional to 97,930.40, 147,049.20 and 56,458.40 is: 84,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,930.40 : 147,049.20 = 56,458.40 : x
  2. Step 2: Convert to fraction form
    97,930.40/147,049.20 = 56,458.40/x
  3. Step 3: Cross multiply
    97,930.40x = 147,049.20 × 56,458.40
  4. Step 4: Simplify right side
    97,930.40x = 8,302,162,553.28
  5. Step 5: Solve for x
    x = 8,302,162,553.28/97,930.40
  6. Step 6: Final answer
    x = 84,776.15

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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.