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Finding the Fourth Proportional to 186,442.82, 257,289.77 and 101,559.88

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Solution

The fourth proportional to 186,442.82, 257,289.77 and 101,559.88 is: 140,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,442.82 : 257,289.77 = 101,559.88 : x
  2. Step 2: Convert to fraction form
    186,442.82/257,289.77 = 101,559.88/x
  3. Step 3: Cross multiply
    186,442.82x = 257,289.77 × 101,559.88
  4. Step 4: Simplify right side
    186,442.82x = 26,130,318,166.43
  5. Step 5: Solve for x
    x = 26,130,318,166.43/186,442.82
  6. Step 6: Final answer
    x = 140,151.91

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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.