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Finding the Fourth Proportional to 186,291.96, 257,076.36 and 101,407.20

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Solution

The fourth proportional to 186,291.96, 257,076.36 and 101,407.20 is: 139,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,291.96 : 257,076.36 = 101,407.20 : x
  2. Step 2: Convert to fraction form
    186,291.96/257,076.36 = 101,407.20/x
  3. Step 3: Cross multiply
    186,291.96x = 257,076.36 × 101,407.20
  4. Step 4: Simplify right side
    186,291.96x = 26,069,393,853.79
  5. Step 5: Solve for x
    x = 26,069,393,853.79/186,291.96
  6. Step 6: Final answer
    x = 139,938.37

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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.