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Finding the Fourth Proportional to 212,419.53, 293,166.95 and 127,542.06

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Solution

The fourth proportional to 212,419.53, 293,166.95 and 127,542.06 is: 176,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,419.53 : 293,166.95 = 127,542.06 : x
  2. Step 2: Convert to fraction form
    212,419.53/293,166.95 = 127,542.06/x
  3. Step 3: Cross multiply
    212,419.53x = 293,166.95 × 127,542.06
  4. Step 4: Simplify right side
    212,419.53x = 37,391,116,089.21
  5. Step 5: Solve for x
    x = 37,391,116,089.21/212,419.53
  6. Step 6: Final answer
    x = 176,024.85

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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.