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Finding the Fourth Proportional to 185,530.78, 256,032.98 and 100,647.86

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Solution

The fourth proportional to 185,530.78, 256,032.98 and 100,647.86 is: 138,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,530.78 : 256,032.98 = 100,647.86 : x
  2. Step 2: Convert to fraction form
    185,530.78/256,032.98 = 100,647.86/x
  3. Step 3: Cross multiply
    185,530.78x = 256,032.98 × 100,647.86
  4. Step 4: Simplify right side
    185,530.78x = 25,769,171,526.42
  5. Step 5: Solve for x
    x = 25,769,171,526.42/185,530.78
  6. Step 6: Final answer
    x = 138,894.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.