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Finding the Fourth Proportional to 132,311.10, 197,980.65 and 97,319.10

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Solution

The fourth proportional to 132,311.10, 197,980.65 and 97,319.10 is: 145,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,311.10 : 197,980.65 = 97,319.10 : x
  2. Step 2: Convert to fraction form
    132,311.10/197,980.65 = 97,319.10/x
  3. Step 3: Cross multiply
    132,311.10x = 197,980.65 × 97,319.10
  4. Step 4: Simplify right side
    132,311.10x = 19,267,298,675.42
  5. Step 5: Solve for x
    x = 19,267,298,675.42/132,311.10
  6. Step 6: Final answer
    x = 145,621.18

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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.