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Finding the Fourth Proportional to 185,921.56, 278,879.88 and 45,681.40

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Solution

The fourth proportional to 185,921.56, 278,879.88 and 45,681.40 is: 68,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,921.56 : 278,879.88 = 45,681.40 : x
  2. Step 2: Convert to fraction form
    185,921.56/278,879.88 = 45,681.40/x
  3. Step 3: Cross multiply
    185,921.56x = 278,879.88 × 45,681.40
  4. Step 4: Simplify right side
    185,921.56x = 12,739,623,350.23
  5. Step 5: Solve for x
    x = 12,739,623,350.23/185,921.56
  6. Step 6: Final answer
    x = 68,521.50

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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.