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Finding the Fourth Proportional to 223,151.64, 307,948.28 and 121,176.28

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Solution

The fourth proportional to 223,151.64, 307,948.28 and 121,176.28 is: 167,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,151.64 : 307,948.28 = 121,176.28 : x
  2. Step 2: Convert to fraction form
    223,151.64/307,948.28 = 121,176.28/x
  3. Step 3: Cross multiply
    223,151.64x = 307,948.28 × 121,176.28
  4. Step 4: Simplify right side
    223,151.64x = 37,316,026,396.92
  5. Step 5: Solve for x
    x = 37,316,026,396.92/223,151.64
  6. Step 6: Final answer
    x = 167,222.73

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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.