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Finding the Fourth Proportional to 186,780, 257,756.40 and 119,712

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Solution

The fourth proportional to 186,780, 257,756.40 and 119,712 is: 165,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,780 : 257,756.40 = 119,712 : x
  2. Step 2: Convert to fraction form
    186,780/257,756.40 = 119,712/x
  3. Step 3: Cross multiply
    186,780x = 257,756.40 × 119,712
  4. Step 4: Simplify right side
    186,780x = 30,856,534,156.80
  5. Step 5: Solve for x
    x = 30,856,534,156.80/186,780
  6. Step 6: Final answer
    x = 165,202.56

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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.