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Finding the Fourth Proportional to 193,214.25, 266,585.16 and 111,522.51

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Solution

The fourth proportional to 193,214.25, 266,585.16 and 111,522.51 is: 153,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,214.25 : 266,585.16 = 111,522.51 : x
  2. Step 2: Convert to fraction form
    193,214.25/266,585.16 = 111,522.51/x
  3. Step 3: Cross multiply
    193,214.25x = 266,585.16 × 111,522.51
  4. Step 4: Simplify right side
    193,214.25x = 29,730,246,171.95
  5. Step 5: Solve for x
    x = 29,730,246,171.95/193,214.25
  6. Step 6: Final answer
    x = 153,871.91

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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.