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Finding the Fourth Proportional to 223,772.22, 335,707.65 and 97,432.74

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Solution

The fourth proportional to 223,772.22, 335,707.65 and 97,432.74 is: 146,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,772.22 : 335,707.65 = 97,432.74 : x
  2. Step 2: Convert to fraction form
    223,772.22/335,707.65 = 97,432.74/x
  3. Step 3: Cross multiply
    223,772.22x = 335,707.65 × 97,432.74
  4. Step 4: Simplify right side
    223,772.22x = 32,708,916,178.46
  5. Step 5: Solve for x
    x = 32,708,916,178.46/223,772.22
  6. Step 6: Final answer
    x = 146,170.58

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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.