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Finding the Fourth Proportional to 212,274.68, 292,928.47 and 116,778.92

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Solution

The fourth proportional to 212,274.68, 292,928.47 and 116,778.92 is: 161,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,274.68 : 292,928.47 = 116,778.92 : x
  2. Step 2: Convert to fraction form
    212,274.68/292,928.47 = 116,778.92/x
  3. Step 3: Cross multiply
    212,274.68x = 292,928.47 × 116,778.92
  4. Step 4: Simplify right side
    212,274.68x = 34,207,868,607.26
  5. Step 5: Solve for x
    x = 34,207,868,607.26/212,274.68
  6. Step 6: Final answer
    x = 161,149.08

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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.