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Finding the Fourth Proportional to 223,082.64, 307,854.30 and 121,108.08

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Solution

The fourth proportional to 223,082.64, 307,854.30 and 121,108.08 is: 167,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,082.64 : 307,854.30 = 121,108.08 : x
  2. Step 2: Convert to fraction form
    223,082.64/307,854.30 = 121,108.08/x
  3. Step 3: Cross multiply
    223,082.64x = 307,854.30 × 121,108.08
  4. Step 4: Simplify right side
    223,082.64x = 37,283,643,192.74
  5. Step 5: Solve for x
    x = 37,283,643,192.74/223,082.64
  6. Step 6: Final answer
    x = 167,129.29

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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.