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Finding the Fourth Proportional to 135,294.89, 186,554.16 and 101,194.07

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Solution

The fourth proportional to 135,294.89, 186,554.16 and 101,194.07 is: 139,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,294.89 : 186,554.16 = 101,194.07 : x
  2. Step 2: Convert to fraction form
    135,294.89/186,554.16 = 101,194.07/x
  3. Step 3: Cross multiply
    135,294.89x = 186,554.16 × 101,194.07
  4. Step 4: Simplify right side
    135,294.89x = 18,878,173,793.06
  5. Step 5: Solve for x
    x = 18,878,173,793.06/135,294.89
  6. Step 6: Final answer
    x = 139,533.54

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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.