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Finding the Fourth Proportional to 186,447.57, 257,296.30 and 101,564.65

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Solution

The fourth proportional to 186,447.57, 257,296.30 and 101,564.65 is: 140,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,447.57 : 257,296.30 = 101,564.65 : x
  2. Step 2: Convert to fraction form
    186,447.57/257,296.30 = 101,564.65/x
  3. Step 3: Cross multiply
    186,447.57x = 257,296.30 × 101,564.65
  4. Step 4: Simplify right side
    186,447.57x = 26,132,208,655.80
  5. Step 5: Solve for x
    x = 26,132,208,655.80/186,447.57
  6. Step 6: Final answer
    x = 140,158.48

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