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Finding the Fourth Proportional to 129,368.57, 193,822 and 70,166.48

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Solution

The fourth proportional to 129,368.57, 193,822 and 70,166.48 is: 105,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,368.57 : 193,822 = 70,166.48 : x
  2. Step 2: Convert to fraction form
    129,368.57/193,822 = 70,166.48/x
  3. Step 3: Cross multiply
    129,368.57x = 193,822 × 70,166.48
  4. Step 4: Simplify right side
    129,368.57x = 13,599,807,486.56
  5. Step 5: Solve for x
    x = 13,599,807,486.56/129,368.57
  6. Step 6: Final answer
    x = 105,124.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.