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Finding the Fourth Proportional to 102,626.81, 141,722.81 and 97,035.68

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Solution

The fourth proportional to 102,626.81, 141,722.81 and 97,035.68 is: 134,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,626.81 : 141,722.81 = 97,035.68 : x
  2. Step 2: Convert to fraction form
    102,626.81/141,722.81 = 97,035.68/x
  3. Step 3: Cross multiply
    102,626.81x = 141,722.81 × 97,035.68
  4. Step 4: Simplify right side
    102,626.81x = 13,752,169,062.71
  5. Step 5: Solve for x
    x = 13,752,169,062.71/102,626.81
  6. Step 6: Final answer
    x = 134,001.73

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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.