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Finding the Fourth Proportional to 134,733, 202,098.69 and 34,892.94

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Solution

The fourth proportional to 134,733, 202,098.69 and 34,892.94 is: 52,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,733 : 202,098.69 = 34,892.94 : x
  2. Step 2: Convert to fraction form
    134,733/202,098.69 = 34,892.94/x
  3. Step 3: Cross multiply
    134,733x = 202,098.69 × 34,892.94
  4. Step 4: Simplify right side
    134,733x = 7,051,817,464.25
  5. Step 5: Solve for x
    x = 7,051,817,464.25/134,733
  6. Step 6: Final answer
    x = 52,339.20

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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.