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Finding the Fourth Proportional to 194,614.10, 291,921.15 and 185,428.70

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Solution

The fourth proportional to 194,614.10, 291,921.15 and 185,428.70 is: 278,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,614.10 : 291,921.15 = 185,428.70 : x
  2. Step 2: Convert to fraction form
    194,614.10/291,921.15 = 185,428.70/x
  3. Step 3: Cross multiply
    194,614.10x = 291,921.15 × 185,428.70
  4. Step 4: Simplify right side
    194,614.10x = 54,130,559,347.01
  5. Step 5: Solve for x
    x = 54,130,559,347.01/194,614.10
  6. Step 6: Final answer
    x = 278,143.05

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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.