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Finding the Fourth Proportional to 135,172.84, 202,746.30 and 41,653.48

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Solution

The fourth proportional to 135,172.84, 202,746.30 and 41,653.48 is: 62,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,172.84 : 202,746.30 = 41,653.48 : x
  2. Step 2: Convert to fraction form
    135,172.84/202,746.30 = 41,653.48/x
  3. Step 3: Cross multiply
    135,172.84x = 202,746.30 × 41,653.48
  4. Step 4: Simplify right side
    135,172.84x = 8,445,088,952.12
  5. Step 5: Solve for x
    x = 8,445,088,952.12/135,172.84
  6. Step 6: Final answer
    x = 62,476.23

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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.