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Finding the Fourth Proportional to 220,357.14, 304,084.29 and 119,752.98

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Solution

The fourth proportional to 220,357.14, 304,084.29 and 119,752.98 is: 165,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,357.14 : 304,084.29 = 119,752.98 : x
  2. Step 2: Convert to fraction form
    220,357.14/304,084.29 = 119,752.98/x
  3. Step 3: Cross multiply
    220,357.14x = 304,084.29 × 119,752.98
  4. Step 4: Simplify right side
    220,357.14x = 36,414,999,898.68
  5. Step 5: Solve for x
    x = 36,414,999,898.68/220,357.14
  6. Step 6: Final answer
    x = 165,254.46

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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.