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Finding the Fourth Proportional to 142,926.75, 197,242.64 and 78,398.80

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Solution

The fourth proportional to 142,926.75, 197,242.64 and 78,398.80 is: 108,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,926.75 : 197,242.64 = 78,398.80 : x
  2. Step 2: Convert to fraction form
    142,926.75/197,242.64 = 78,398.80/x
  3. Step 3: Cross multiply
    142,926.75x = 197,242.64 × 78,398.80
  4. Step 4: Simplify right side
    142,926.75x = 15,463,586,284.83
  5. Step 5: Solve for x
    x = 15,463,586,284.83/142,926.75
  6. Step 6: Final answer
    x = 108,192.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.