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Finding the Fourth Proportional to 113,735.16, 170,252.76 and 74,207.16

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Solution

The fourth proportional to 113,735.16, 170,252.76 and 74,207.16 is: 111,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,735.16 : 170,252.76 = 74,207.16 : x
  2. Step 2: Convert to fraction form
    113,735.16/170,252.76 = 74,207.16/x
  3. Step 3: Cross multiply
    113,735.16x = 170,252.76 × 74,207.16
  4. Step 4: Simplify right side
    113,735.16x = 12,633,973,801.76
  5. Step 5: Solve for x
    x = 12,633,973,801.76/113,735.16
  6. Step 6: Final answer
    x = 111,082.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.