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Finding the Fourth Proportional to 195,040, 269,155.20 and 105,616

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Solution

The fourth proportional to 195,040, 269,155.20 and 105,616 is: 145,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,040 : 269,155.20 = 105,616 : x
  2. Step 2: Convert to fraction form
    195,040/269,155.20 = 105,616/x
  3. Step 3: Cross multiply
    195,040x = 269,155.20 × 105,616
  4. Step 4: Simplify right side
    195,040x = 28,427,095,603.20
  5. Step 5: Solve for x
    x = 28,427,095,603.20/195,040
  6. Step 6: Final answer
    x = 145,750.08

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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.