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Finding the Fourth Proportional to 158,594.74, 218,867.06 and 86,977.38

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Solution

The fourth proportional to 158,594.74, 218,867.06 and 86,977.38 is: 120,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,594.74 : 218,867.06 = 86,977.38 : x
  2. Step 2: Convert to fraction form
    158,594.74/218,867.06 = 86,977.38/x
  3. Step 3: Cross multiply
    158,594.74x = 218,867.06 × 86,977.38
  4. Step 4: Simplify right side
    158,594.74x = 19,036,483,447.10
  5. Step 5: Solve for x
    x = 19,036,483,447.10/158,594.74
  6. Step 6: Final answer
    x = 120,032.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.