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Finding the Fourth Proportional to 186,907.42, 257,932.17 and 102,024.49

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Solution

The fourth proportional to 186,907.42, 257,932.17 and 102,024.49 is: 140,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,907.42 : 257,932.17 = 102,024.49 : x
  2. Step 2: Convert to fraction form
    186,907.42/257,932.17 = 102,024.49/x
  3. Step 3: Cross multiply
    186,907.42x = 257,932.17 × 102,024.49
  4. Step 4: Simplify right side
    186,907.42x = 26,315,398,098.84
  5. Step 5: Solve for x
    x = 26,315,398,098.84/186,907.42
  6. Step 6: Final answer
    x = 140,793.76

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1.5x scale

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.