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Finding the Fourth Proportional to 145,201, 217,597.20 and 115,486.96

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Solution

The fourth proportional to 145,201, 217,597.20 and 115,486.96 is: 173,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,201 : 217,597.20 = 115,486.96 : x
  2. Step 2: Convert to fraction form
    145,201/217,597.20 = 115,486.96/x
  3. Step 3: Cross multiply
    145,201x = 217,597.20 × 115,486.96
  4. Step 4: Simplify right side
    145,201x = 25,129,639,132.51
  5. Step 5: Solve for x
    x = 25,129,639,132.51/145,201
  6. Step 6: Final answer
    x = 173,067.95

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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.