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Finding the Fourth Proportional to 158,565, 218,826.32 and 86,947.77

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Solution

The fourth proportional to 158,565, 218,826.32 and 86,947.77 is: 119,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,565 : 218,826.32 = 86,947.77 : x
  2. Step 2: Convert to fraction form
    158,565/218,826.32 = 86,947.77/x
  3. Step 3: Cross multiply
    158,565x = 218,826.32 × 86,947.77
  4. Step 4: Simplify right side
    158,565x = 19,026,460,106.57
  5. Step 5: Solve for x
    x = 19,026,460,106.57/158,565
  6. Step 6: Final answer
    x = 119,991.55

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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.