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Finding the Fourth Proportional to 135,347.31, 202,904.33 and 65,275.83

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Solution

The fourth proportional to 135,347.31, 202,904.33 and 65,275.83 is: 97,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,347.31 : 202,904.33 = 65,275.83 : x
  2. Step 2: Convert to fraction form
    135,347.31/202,904.33 = 65,275.83/x
  3. Step 3: Cross multiply
    135,347.31x = 202,904.33 × 65,275.83
  4. Step 4: Simplify right side
    135,347.31x = 13,244,748,224.96
  5. Step 5: Solve for x
    x = 13,244,748,224.96/135,347.31
  6. Step 6: Final answer
    x = 97,857.49

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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.