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Finding the Fourth Proportional to 185,892.42, 256,533.17 and 101,009.48

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Solution

The fourth proportional to 185,892.42, 256,533.17 and 101,009.48 is: 139,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892.42 : 256,533.17 = 101,009.48 : x
  2. Step 2: Convert to fraction form
    185,892.42/256,533.17 = 101,009.48/x
  3. Step 3: Cross multiply
    185,892.42x = 256,533.17 × 101,009.48
  4. Step 4: Simplify right side
    185,892.42x = 25,912,280,316.74
  5. Step 5: Solve for x
    x = 25,912,280,316.74/185,892.42
  6. Step 6: Final answer
    x = 139,393.96

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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.