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Finding the Fourth Proportional to 223,686.75, 335,403.06 and 152,695.38

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Solution

The fourth proportional to 223,686.75, 335,403.06 and 152,695.38 is: 228,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,686.75 : 335,403.06 = 152,695.38 : x
  2. Step 2: Convert to fraction form
    223,686.75/335,403.06 = 152,695.38/x
  3. Step 3: Cross multiply
    223,686.75x = 335,403.06 × 152,695.38
  4. Step 4: Simplify right side
    223,686.75x = 51,214,497,699.86
  5. Step 5: Solve for x
    x = 51,214,497,699.86/223,686.75
  6. Step 6: Final answer
    x = 228,956.33

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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.