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Finding the Fourth Proportional to 189,156.80, 283,818.78 and 99,178.01

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Solution

The fourth proportional to 189,156.80, 283,818.78 and 99,178.01 is: 148,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,156.80 : 283,818.78 = 99,178.01 : x
  2. Step 2: Convert to fraction form
    189,156.80/283,818.78 = 99,178.01/x
  3. Step 3: Cross multiply
    189,156.80x = 283,818.78 × 99,178.01
  4. Step 4: Simplify right side
    189,156.80x = 28,148,581,446.25
  5. Step 5: Solve for x
    x = 28,148,581,446.25/189,156.80
  6. Step 6: Final answer
    x = 148,810.83

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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.