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Finding the Fourth Proportional to 207,140, 310,584.21 and 135,146.39

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Solution

The fourth proportional to 207,140, 310,584.21 and 135,146.39 is: 202,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,140 : 310,584.21 = 135,146.39 : x
  2. Step 2: Convert to fraction form
    207,140/310,584.21 = 135,146.39/x
  3. Step 3: Cross multiply
    207,140x = 310,584.21 × 135,146.39
  4. Step 4: Simplify right side
    207,140x = 41,974,334,772.50
  5. Step 5: Solve for x
    x = 41,974,334,772.50/207,140
  6. Step 6: Final answer
    x = 202,637.51

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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.