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Finding the Fourth Proportional to 185,840.76, 278,749.86 and 65,903.66

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Solution

The fourth proportional to 185,840.76, 278,749.86 and 65,903.66 is: 98,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,840.76 : 278,749.86 = 65,903.66 : x
  2. Step 2: Convert to fraction form
    185,840.76/278,749.86 = 65,903.66/x
  3. Step 3: Cross multiply
    185,840.76x = 278,749.86 × 65,903.66
  4. Step 4: Simplify right side
    185,840.76x = 18,370,635,402.91
  5. Step 5: Solve for x
    x = 18,370,635,402.91/185,840.76
  6. Step 6: Final answer
    x = 98,851.48

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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.