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Finding the Fourth Proportional to 110,971.56, 153,020.34 and 70,633.74

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Solution

The fourth proportional to 110,971.56, 153,020.34 and 70,633.74 is: 97,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,971.56 : 153,020.34 = 70,633.74 : x
  2. Step 2: Convert to fraction form
    110,971.56/153,020.34 = 70,633.74/x
  3. Step 3: Cross multiply
    110,971.56x = 153,020.34 × 70,633.74
  4. Step 4: Simplify right side
    110,971.56x = 10,808,398,910.27
  5. Step 5: Solve for x
    x = 10,808,398,910.27/110,971.56
  6. Step 6: Final answer
    x = 97,397.92

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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.