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Finding the Fourth Proportional to 105,187.60, 157,781.40 and 49,891.60

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Solution

The fourth proportional to 105,187.60, 157,781.40 and 49,891.60 is: 74,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,187.60 : 157,781.40 = 49,891.60 : x
  2. Step 2: Convert to fraction form
    105,187.60/157,781.40 = 49,891.60/x
  3. Step 3: Cross multiply
    105,187.60x = 157,781.40 × 49,891.60
  4. Step 4: Simplify right side
    105,187.60x = 7,871,966,496.24
  5. Step 5: Solve for x
    x = 7,871,966,496.24/105,187.60
  6. Step 6: Final answer
    x = 74,837.40

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Why These Related Problems?

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