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Finding the Fourth Proportional to 110,536.36, 152,542.65 and 65,225.38

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Solution

The fourth proportional to 110,536.36, 152,542.65 and 65,225.38 is: 90,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536.36 : 152,542.65 = 65,225.38 : x
  2. Step 2: Convert to fraction form
    110,536.36/152,542.65 = 65,225.38/x
  3. Step 3: Cross multiply
    110,536.36x = 152,542.65 × 65,225.38
  4. Step 4: Simplify right side
    110,536.36x = 9,949,652,312.46
  5. Step 5: Solve for x
    x = 9,949,652,312.46/110,536.36
  6. Step 6: Final answer
    x = 90,012.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.