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Finding the Fourth Proportional to 185,508.90, 278,285.54 and 65,541.02

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Solution

The fourth proportional to 185,508.90, 278,285.54 and 65,541.02 is: 98,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,508.90 : 278,285.54 = 65,541.02 : x
  2. Step 2: Convert to fraction form
    185,508.90/278,285.54 = 65,541.02/x
  3. Step 3: Cross multiply
    185,508.90x = 278,285.54 × 65,541.02
  4. Step 4: Simplify right side
    185,508.90x = 18,239,118,142.85
  5. Step 5: Solve for x
    x = 18,239,118,142.85/185,508.90
  6. Step 6: Final answer
    x = 98,319.37

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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.