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Finding the Fourth Proportional to 135,696.84, 187,261.68 and 75,268.20

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Solution

The fourth proportional to 135,696.84, 187,261.68 and 75,268.20 is: 103,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,696.84 : 187,261.68 = 75,268.20 : x
  2. Step 2: Convert to fraction form
    135,696.84/187,261.68 = 75,268.20/x
  3. Step 3: Cross multiply
    135,696.84x = 187,261.68 × 75,268.20
  4. Step 4: Simplify right side
    135,696.84x = 14,094,849,582.58
  5. Step 5: Solve for x
    x = 14,094,849,582.58/135,696.84
  6. Step 6: Final answer
    x = 103,870.14

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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.