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Finding the Fourth Proportional to 194,630.10, 291,945.15 and 186,854.10

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Solution

The fourth proportional to 194,630.10, 291,945.15 and 186,854.10 is: 280,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,630.10 : 291,945.15 = 186,854.10 : x
  2. Step 2: Convert to fraction form
    194,630.10/291,945.15 = 186,854.10/x
  3. Step 3: Cross multiply
    194,630.10x = 291,945.15 × 186,854.10
  4. Step 4: Simplify right side
    194,630.10x = 54,551,148,252.62
  5. Step 5: Solve for x
    x = 54,551,148,252.62/194,630.10
  6. Step 6: Final answer
    x = 280,281.15

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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.