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Finding the Fourth Proportional to 103,397.56, 142,742.84 and 69,583.84

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Solution

The fourth proportional to 103,397.56, 142,742.84 and 69,583.84 is: 96,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,397.56 : 142,742.84 = 69,583.84 : x
  2. Step 2: Convert to fraction form
    103,397.56/142,742.84 = 69,583.84/x
  3. Step 3: Cross multiply
    103,397.56x = 142,742.84 × 69,583.84
  4. Step 4: Simplify right side
    103,397.56x = 9,932,594,939.71
  5. Step 5: Solve for x
    x = 9,932,594,939.71/103,397.56
  6. Step 6: Final answer
    x = 96,062.18

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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.