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Finding the Fourth Proportional to 101,266, 139,746.52 and 55,947.08

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Solution

The fourth proportional to 101,266, 139,746.52 and 55,947.08 is: 77,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,266 : 139,746.52 = 55,947.08 : x
  2. Step 2: Convert to fraction form
    101,266/139,746.52 = 55,947.08/x
  3. Step 3: Cross multiply
    101,266x = 139,746.52 × 55,947.08
  4. Step 4: Simplify right side
    101,266x = 7,818,409,734.16
  5. Step 5: Solve for x
    x = 7,818,409,734.16/101,266
  6. Step 6: Final answer
    x = 77,206.66

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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.