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Finding the Fourth Proportional to 135,094, 202,641 and 36,598

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Solution

The fourth proportional to 135,094, 202,641 and 36,598 is: 54,897

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,094 : 202,641 = 36,598 : x
  2. Step 2: Convert to fraction form
    135,094/202,641 = 36,598/x
  3. Step 3: Cross multiply
    135,094x = 202,641 × 36,598
  4. Step 4: Simplify right side
    135,094x = 7,416,255,318
  5. Step 5: Solve for x
    x = 7,416,255,318/135,094
  6. Step 6: Final answer
    x = 54,897

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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.