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Finding the Fourth Proportional to 205,062.88, 282,952.80 and 136,970.62

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Solution

The fourth proportional to 205,062.88, 282,952.80 and 136,970.62 is: 188,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,062.88 : 282,952.80 = 136,970.62 : x
  2. Step 2: Convert to fraction form
    205,062.88/282,952.80 = 136,970.62/x
  3. Step 3: Cross multiply
    205,062.88x = 282,952.80 × 136,970.62
  4. Step 4: Simplify right side
    205,062.88x = 38,756,220,446.74
  5. Step 5: Solve for x
    x = 38,756,220,446.74/205,062.88
  6. Step 6: Final answer
    x = 188,996.76

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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.