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Finding the Fourth Proportional to 135,706.39, 187,277.82 and 75,275.07

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Solution

The fourth proportional to 135,706.39, 187,277.82 and 75,275.07 is: 103,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,706.39 : 187,277.82 = 75,275.07 : x
  2. Step 2: Convert to fraction form
    135,706.39/187,277.82 = 75,275.07/x
  3. Step 3: Cross multiply
    135,706.39x = 187,277.82 × 75,275.07
  4. Step 4: Simplify right side
    135,706.39x = 14,097,351,009.95
  5. Step 5: Solve for x
    x = 14,097,351,009.95/135,706.39
  6. Step 6: Final answer
    x = 103,881.26

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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.