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Finding the Fourth Proportional to 223,132.50, 307,925.28 and 122,530.50

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Solution

The fourth proportional to 223,132.50, 307,925.28 and 122,530.50 is: 169,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,132.50 : 307,925.28 = 122,530.50 : x
  2. Step 2: Convert to fraction form
    223,132.50/307,925.28 = 122,530.50/x
  3. Step 3: Cross multiply
    223,132.50x = 307,925.28 × 122,530.50
  4. Step 4: Simplify right side
    223,132.50x = 37,730,238,521.04
  5. Step 5: Solve for x
    x = 37,730,238,521.04/223,132.50
  6. Step 6: Final answer
    x = 169,093.42

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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.