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Finding the Fourth Proportional to 145,993, 201,470.82 and 78,925.48

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Solution

The fourth proportional to 145,993, 201,470.82 and 78,925.48 is: 108,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,993 : 201,470.82 = 78,925.48 : x
  2. Step 2: Convert to fraction form
    145,993/201,470.82 = 78,925.48/x
  3. Step 3: Cross multiply
    145,993x = 201,470.82 × 78,925.48
  4. Step 4: Simplify right side
    145,993x = 15,901,181,174.49
  5. Step 5: Solve for x
    x = 15,901,181,174.49/145,993
  6. Step 6: Final answer
    x = 108,917.42

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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.