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Finding the Fourth Proportional to 212,209.40, 292,750.80 and 127,178.84

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Solution

The fourth proportional to 212,209.40, 292,750.80 and 127,178.84 is: 175,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,209.40 : 292,750.80 = 127,178.84 : x
  2. Step 2: Convert to fraction form
    212,209.40/292,750.80 = 127,178.84/x
  3. Step 3: Cross multiply
    212,209.40x = 292,750.80 × 127,178.84
  4. Step 4: Simplify right side
    212,209.40x = 37,231,707,153.07
  5. Step 5: Solve for x
    x = 37,231,707,153.07/212,209.40
  6. Step 6: Final answer
    x = 175,447.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.