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Finding the Fourth Proportional to 113,695.30, 170,214.90 and 100,573.30

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Solution

The fourth proportional to 113,695.30, 170,214.90 and 100,573.30 is: 150,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,695.30 : 170,214.90 = 100,573.30 : x
  2. Step 2: Convert to fraction form
    113,695.30/170,214.90 = 100,573.30/x
  3. Step 3: Cross multiply
    113,695.30x = 170,214.90 × 100,573.30
  4. Step 4: Simplify right side
    113,695.30x = 17,119,074,202.17
  5. Step 5: Solve for x
    x = 17,119,074,202.17/113,695.30
  6. Step 6: Final answer
    x = 150,569.76

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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.