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Finding the Fourth Proportional to 186,776.98, 257,747.13 and 101,894.02

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Solution

The fourth proportional to 186,776.98, 257,747.13 and 101,894.02 is: 140,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,776.98 : 257,747.13 = 101,894.02 : x
  2. Step 2: Convert to fraction form
    186,776.98/257,747.13 = 101,894.02/x
  3. Step 3: Cross multiply
    186,776.98x = 257,747.13 × 101,894.02
  4. Step 4: Simplify right side
    186,776.98x = 26,262,891,219.16
  5. Step 5: Solve for x
    x = 26,262,891,219.16/186,776.98
  6. Step 6: Final answer
    x = 140,610.96

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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.