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Finding the Fourth Proportional to 223,946.51, 309,046.19 and 123,344.51

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Solution

The fourth proportional to 223,946.51, 309,046.19 and 123,344.51 is: 170,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,946.51 : 309,046.19 = 123,344.51 : x
  2. Step 2: Convert to fraction form
    223,946.51/309,046.19 = 123,344.51/x
  3. Step 3: Cross multiply
    223,946.51x = 309,046.19 × 123,344.51
  4. Step 4: Simplify right side
    223,946.51x = 38,119,148,710.96
  5. Step 5: Solve for x
    x = 38,119,148,710.96/223,946.51
  6. Step 6: Final answer
    x = 170,215.42

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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.