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Finding the Fourth Proportional to 102,041.57, 140,768.38 and 87,869.81

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Solution

The fourth proportional to 102,041.57, 140,768.38 and 87,869.81 is: 121,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,041.57 : 140,768.38 = 87,869.81 : x
  2. Step 2: Convert to fraction form
    102,041.57/140,768.38 = 87,869.81/x
  3. Step 3: Cross multiply
    102,041.57x = 140,768.38 × 87,869.81
  4. Step 4: Simplify right side
    102,041.57x = 12,369,291,266.37
  5. Step 5: Solve for x
    x = 12,369,291,266.37/102,041.57
  6. Step 6: Final answer
    x = 121,218.16

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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.