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Finding the Fourth Proportional to 212,208.90, 292,750.11 and 127,178.34

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Solution

The fourth proportional to 212,208.90, 292,750.11 and 127,178.34 is: 175,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,208.90 : 292,750.11 = 127,178.34 : x
  2. Step 2: Convert to fraction form
    212,208.90/292,750.11 = 127,178.34/x
  3. Step 3: Cross multiply
    212,208.90x = 292,750.11 × 127,178.34
  4. Step 4: Simplify right side
    212,208.90x = 37,231,473,024.62
  5. Step 5: Solve for x
    x = 37,231,473,024.62/212,208.90
  6. Step 6: Final answer
    x = 175,447.27

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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.