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Finding the Fourth Proportional to 186,291.75, 257,082.65 and 101,409.45

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Solution

The fourth proportional to 186,291.75, 257,082.65 and 101,409.45 is: 139,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,291.75 : 257,082.65 = 101,409.45 : x
  2. Step 2: Convert to fraction form
    186,291.75/257,082.65 = 101,409.45/x
  3. Step 3: Cross multiply
    186,291.75x = 257,082.65 × 101,409.45
  4. Step 4: Simplify right side
    186,291.75x = 26,070,609,634.00
  5. Step 5: Solve for x
    x = 26,070,609,634.00/186,291.75
  6. Step 6: Final answer
    x = 139,945.06

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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.