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Finding the Fourth Proportional to 198,527.76, 297,808.65 and 56,373.57

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Solution

The fourth proportional to 198,527.76, 297,808.65 and 56,373.57 is: 84,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,527.76 : 297,808.65 = 56,373.57 : x
  2. Step 2: Convert to fraction form
    198,527.76/297,808.65 = 56,373.57/x
  3. Step 3: Cross multiply
    198,527.76x = 297,808.65 × 56,373.57
  4. Step 4: Simplify right side
    198,527.76x = 16,788,536,777.38
  5. Step 5: Solve for x
    x = 16,788,536,777.38/198,527.76
  6. Step 6: Final answer
    x = 84,565.19

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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.