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Finding the Fourth Proportional to 105,013.57, 144,876.38 and 60,782.07

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Solution

The fourth proportional to 105,013.57, 144,876.38 and 60,782.07 is: 83,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,013.57 : 144,876.38 = 60,782.07 : x
  2. Step 2: Convert to fraction form
    105,013.57/144,876.38 = 60,782.07/x
  3. Step 3: Cross multiply
    105,013.57x = 144,876.38 × 60,782.07
  4. Step 4: Simplify right side
    105,013.57x = 8,805,886,444.32
  5. Step 5: Solve for x
    x = 8,805,886,444.32/105,013.57
  6. Step 6: Final answer
    x = 83,854.75

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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.