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Finding the Fourth Proportional to 134,926, 202,398.72 and 51,820

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Solution

The fourth proportional to 134,926, 202,398.72 and 51,820 is: 77,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,926 : 202,398.72 = 51,820 : x
  2. Step 2: Convert to fraction form
    134,926/202,398.72 = 51,820/x
  3. Step 3: Cross multiply
    134,926x = 202,398.72 × 51,820
  4. Step 4: Simplify right side
    134,926x = 10,488,301,670.40
  5. Step 5: Solve for x
    x = 10,488,301,670.40/134,926
  6. Step 6: Final answer
    x = 77,733.73

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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.