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Finding the Fourth Proportional to 219,092.74, 302,350.90 and 123,599.14

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Solution

The fourth proportional to 219,092.74, 302,350.90 and 123,599.14 is: 170,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,092.74 : 302,350.90 = 123,599.14 : x
  2. Step 2: Convert to fraction form
    219,092.74/302,350.90 = 123,599.14/x
  3. Step 3: Cross multiply
    219,092.74x = 302,350.90 × 123,599.14
  4. Step 4: Simplify right side
    219,092.74x = 37,370,311,218.23
  5. Step 5: Solve for x
    x = 37,370,311,218.23/219,092.74
  6. Step 6: Final answer
    x = 170,568.46

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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.