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Finding the Fourth Proportional to 186,543.30, 257,422.22 and 101,658.54

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Solution

The fourth proportional to 186,543.30, 257,422.22 and 101,658.54 is: 140,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,543.30 : 257,422.22 = 101,658.54 : x
  2. Step 2: Convert to fraction form
    186,543.30/257,422.22 = 101,658.54/x
  3. Step 3: Cross multiply
    186,543.30x = 257,422.22 × 101,658.54
  4. Step 4: Simplify right side
    186,543.30x = 26,169,167,048.76
  5. Step 5: Solve for x
    x = 26,169,167,048.76/186,543.30
  6. Step 6: Final answer
    x = 140,284.68

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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.