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Finding the Fourth Proportional to 222,035.50, 306,390.47 and 125,234.02

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Solution

The fourth proportional to 222,035.50, 306,390.47 and 125,234.02 is: 172,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,035.50 : 306,390.47 = 125,234.02 : x
  2. Step 2: Convert to fraction form
    222,035.50/306,390.47 = 125,234.02/x
  3. Step 3: Cross multiply
    222,035.50x = 306,390.47 × 125,234.02
  4. Step 4: Simplify right side
    222,035.50x = 38,370,509,337.82
  5. Step 5: Solve for x
    x = 38,370,509,337.82/222,035.50
  6. Step 6: Final answer
    x = 172,812.50

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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.