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Finding the Fourth Proportional to 185,709.17, 278,674.44 and 67,389.74

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Solution

The fourth proportional to 185,709.17, 278,674.44 and 67,389.74 is: 101,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,709.17 : 278,674.44 = 67,389.74 : x
  2. Step 2: Convert to fraction form
    185,709.17/278,674.44 = 67,389.74/x
  3. Step 3: Cross multiply
    185,709.17x = 278,674.44 × 67,389.74
  4. Step 4: Simplify right side
    185,709.17x = 18,779,798,056.25
  5. Step 5: Solve for x
    x = 18,779,798,056.25/185,709.17
  6. Step 6: Final answer
    x = 101,124.78

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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.