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Finding the Fourth Proportional to 250,029, 344,971.85 and 142,559.82

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Solution

The fourth proportional to 250,029, 344,971.85 and 142,559.82 is: 196,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,029 : 344,971.85 = 142,559.82 : x
  2. Step 2: Convert to fraction form
    250,029/344,971.85 = 142,559.82/x
  3. Step 3: Cross multiply
    250,029x = 344,971.85 × 142,559.82
  4. Step 4: Simplify right side
    250,029x = 49,179,124,128.27
  5. Step 5: Solve for x
    x = 49,179,124,128.27/250,029
  6. Step 6: Final answer
    x = 196,693.68

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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.