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Finding the Fourth Proportional to 223,312.91, 334,781.07 and 96,857.96

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Solution

The fourth proportional to 223,312.91, 334,781.07 and 96,857.96 is: 145,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,312.91 : 334,781.07 = 96,857.96 : x
  2. Step 2: Convert to fraction form
    223,312.91/334,781.07 = 96,857.96/x
  3. Step 3: Cross multiply
    223,312.91x = 334,781.07 × 96,857.96
  4. Step 4: Simplify right side
    223,312.91x = 32,426,211,486.82
  5. Step 5: Solve for x
    x = 32,426,211,486.82/223,312.91
  6. Step 6: Final answer
    x = 145,205.27

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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.