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Finding the Fourth Proportional to 194,689.76, 291,861.05 and 104,780.72

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Solution

The fourth proportional to 194,689.76, 291,861.05 and 104,780.72 is: 157,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,689.76 : 291,861.05 = 104,780.72 : x
  2. Step 2: Convert to fraction form
    194,689.76/291,861.05 = 104,780.72/x
  3. Step 3: Cross multiply
    194,689.76x = 291,861.05 × 104,780.72
  4. Step 4: Simplify right side
    194,689.76x = 30,581,411,164.71
  5. Step 5: Solve for x
    x = 30,581,411,164.71/194,689.76
  6. Step 6: Final answer
    x = 157,077.66

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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.