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Finding the Fourth Proportional to 186,442.66, 257,292.60 and 105,871.86

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Solution

The fourth proportional to 186,442.66, 257,292.60 and 105,871.86 is: 146,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,442.66 : 257,292.60 = 105,871.86 : x
  2. Step 2: Convert to fraction form
    186,442.66/257,292.60 = 105,871.86/x
  3. Step 3: Cross multiply
    186,442.66x = 257,292.60 × 105,871.86
  4. Step 4: Simplify right side
    186,442.66x = 27,240,046,324.75
  5. Step 5: Solve for x
    x = 27,240,046,324.75/186,442.66
  6. Step 6: Final answer
    x = 146,104.15

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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.