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Finding the Fourth Proportional to 135,677.86, 203,526.51 and 35,837.06

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Solution

The fourth proportional to 135,677.86, 203,526.51 and 35,837.06 is: 53,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,677.86 : 203,526.51 = 35,837.06 : x
  2. Step 2: Convert to fraction form
    135,677.86/203,526.51 = 35,837.06/x
  3. Step 3: Cross multiply
    135,677.86x = 203,526.51 × 35,837.06
  4. Step 4: Simplify right side
    135,677.86x = 7,293,791,750.46
  5. Step 5: Solve for x
    x = 7,293,791,750.46/135,677.86
  6. Step 6: Final answer
    x = 53,758.16

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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.