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Finding the Fourth Proportional to 136,207.98, 204,465.06 and 57,388.50

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Solution

The fourth proportional to 136,207.98, 204,465.06 and 57,388.50 is: 86,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,207.98 : 204,465.06 = 57,388.50 : x
  2. Step 2: Convert to fraction form
    136,207.98/204,465.06 = 57,388.50/x
  3. Step 3: Cross multiply
    136,207.98x = 204,465.06 × 57,388.50
  4. Step 4: Simplify right side
    136,207.98x = 11,733,943,095.81
  5. Step 5: Solve for x
    x = 11,733,943,095.81/136,207.98
  6. Step 6: Final answer
    x = 86,147.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.