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Finding the Fourth Proportional to 105,758, 145,959.04 and 61,046

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Solution

The fourth proportional to 105,758, 145,959.04 and 61,046 is: 84,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,758 : 145,959.04 = 61,046 : x
  2. Step 2: Convert to fraction form
    105,758/145,959.04 = 61,046/x
  3. Step 3: Cross multiply
    105,758x = 145,959.04 × 61,046
  4. Step 4: Simplify right side
    105,758x = 8,910,215,555.84
  5. Step 5: Solve for x
    x = 8,910,215,555.84/105,758
  6. Step 6: Final answer
    x = 84,250.98

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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.