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Finding the Fourth Proportional to 186,777.42, 257,752.52 and 101,894.50

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Solution

The fourth proportional to 186,777.42, 257,752.52 and 101,894.50 is: 140,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,777.42 : 257,752.52 = 101,894.50 : x
  2. Step 2: Convert to fraction form
    186,777.42/257,752.52 = 101,894.50/x
  3. Step 3: Cross multiply
    186,777.42x = 257,752.52 × 101,894.50
  4. Step 4: Simplify right side
    186,777.42x = 26,263,564,149.14
  5. Step 5: Solve for x
    x = 26,263,564,149.14/186,777.42
  6. Step 6: Final answer
    x = 140,614.24

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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.