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Finding the Fourth Proportional to 212,076, 292,517.73 and 144,054.90

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Solution

The fourth proportional to 212,076, 292,517.73 and 144,054.90 is: 198,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,076 : 292,517.73 = 144,054.90 : x
  2. Step 2: Convert to fraction form
    212,076/292,517.73 = 144,054.90/x
  3. Step 3: Cross multiply
    212,076x = 292,517.73 × 144,054.90
  4. Step 4: Simplify right side
    212,076x = 42,138,612,343.38
  5. Step 5: Solve for x
    x = 42,138,612,343.38/212,076
  6. Step 6: Final answer
    x = 198,695.81

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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.