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Finding the Fourth Proportional to 223,927.20, 309,083.04 and 147,502.08

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Solution

The fourth proportional to 223,927.20, 309,083.04 and 147,502.08 is: 203,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,927.20 : 309,083.04 = 147,502.08 : x
  2. Step 2: Convert to fraction form
    223,927.20/309,083.04 = 147,502.08/x
  3. Step 3: Cross multiply
    223,927.20x = 309,083.04 × 147,502.08
  4. Step 4: Simplify right side
    223,927.20x = 45,590,391,292.72
  5. Step 5: Solve for x
    x = 45,590,391,292.72/223,927.20
  6. Step 6: Final answer
    x = 203,594.70

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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.