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Finding the Fourth Proportional to 185,647.78, 278,427.07 and 85,712

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Solution

The fourth proportional to 185,647.78, 278,427.07 and 85,712 is: 128,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,647.78 : 278,427.07 = 85,712 : x
  2. Step 2: Convert to fraction form
    185,647.78/278,427.07 = 85,712/x
  3. Step 3: Cross multiply
    185,647.78x = 278,427.07 × 85,712
  4. Step 4: Simplify right side
    185,647.78x = 23,864,541,023.84
  5. Step 5: Solve for x
    x = 23,864,541,023.84/185,647.78
  6. Step 6: Final answer
    x = 128,547.41

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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.