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Finding the Fourth Proportional to 223,234.50, 308,069.17 and 121,259.93

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Solution

The fourth proportional to 223,234.50, 308,069.17 and 121,259.93 is: 167,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,234.50 : 308,069.17 = 121,259.93 : x
  2. Step 2: Convert to fraction form
    223,234.50/308,069.17 = 121,259.93/x
  3. Step 3: Cross multiply
    223,234.50x = 308,069.17 × 121,259.93
  4. Step 4: Simplify right side
    223,234.50x = 37,356,445,989.36
  5. Step 5: Solve for x
    x = 37,356,445,989.36/223,234.50
  6. Step 6: Final answer
    x = 167,341.72

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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.