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Finding the Fourth Proportional to 223,219.34, 334,841.52 and 71,429.66

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Solution

The fourth proportional to 223,219.34, 334,841.52 and 71,429.66 is: 107,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,219.34 : 334,841.52 = 71,429.66 : x
  2. Step 2: Convert to fraction form
    223,219.34/334,841.52 = 71,429.66/x
  3. Step 3: Cross multiply
    223,219.34x = 334,841.52 × 71,429.66
  4. Step 4: Simplify right side
    223,219.34x = 23,917,615,927.48
  5. Step 5: Solve for x
    x = 23,917,615,927.48/223,219.34
  6. Step 6: Final answer
    x = 107,148.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.