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Finding the Fourth Proportional to 223,059.15, 307,822.02 and 121,084.70

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Solution

The fourth proportional to 223,059.15, 307,822.02 and 121,084.70 is: 167,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,059.15 : 307,822.02 = 121,084.70 : x
  2. Step 2: Convert to fraction form
    223,059.15/307,822.02 = 121,084.70/x
  3. Step 3: Cross multiply
    223,059.15x = 307,822.02 × 121,084.70
  4. Step 4: Simplify right side
    223,059.15x = 37,272,535,405.98
  5. Step 5: Solve for x
    x = 37,272,535,405.98/223,059.15
  6. Step 6: Final answer
    x = 167,097.09

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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.