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Finding the Fourth Proportional to 223,043.76, 307,793.52 and 121,064.40

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Solution

The fourth proportional to 223,043.76, 307,793.52 and 121,064.40 is: 167,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,043.76 : 307,793.52 = 121,064.40 : x
  2. Step 2: Convert to fraction form
    223,043.76/307,793.52 = 121,064.40/x
  3. Step 3: Cross multiply
    223,043.76x = 307,793.52 × 121,064.40
  4. Step 4: Simplify right side
    223,043.76x = 37,262,837,822.69
  5. Step 5: Solve for x
    x = 37,262,837,822.69/223,043.76
  6. Step 6: Final answer
    x = 167,065.14

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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.