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Finding the Fourth Proportional to 191,950.10, 288,101.85 and 97,246.16

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Solution

The fourth proportional to 191,950.10, 288,101.85 and 97,246.16 is: 145,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,950.10 : 288,101.85 = 97,246.16 : x
  2. Step 2: Convert to fraction form
    191,950.10/288,101.85 = 97,246.16/x
  3. Step 3: Cross multiply
    191,950.10x = 288,101.85 × 97,246.16
  4. Step 4: Simplify right side
    191,950.10x = 28,016,797,160.89
  5. Step 5: Solve for x
    x = 28,016,797,160.89/191,950.10
  6. Step 6: Final answer
    x = 145,958.76

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1.5x scale

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.