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Finding the Fourth Proportional to 102,574.96, 141,343.26 and 75,674.80

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Solution

The fourth proportional to 102,574.96, 141,343.26 and 75,674.80 is: 104,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,574.96 : 141,343.26 = 75,674.80 : x
  2. Step 2: Convert to fraction form
    102,574.96/141,343.26 = 75,674.80/x
  3. Step 3: Cross multiply
    102,574.96x = 141,343.26 × 75,674.80
  4. Step 4: Simplify right side
    102,574.96x = 10,696,122,931.85
  5. Step 5: Solve for x
    x = 10,696,122,931.85/102,574.96
  6. Step 6: Final answer
    x = 104,276.16

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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.