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Finding the Fourth Proportional to 169,286.25, 253,855.55 and 64,031.40

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Solution

The fourth proportional to 169,286.25, 253,855.55 and 64,031.40 is: 96,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,286.25 : 253,855.55 = 64,031.40 : x
  2. Step 2: Convert to fraction form
    169,286.25/253,855.55 = 64,031.40/x
  3. Step 3: Cross multiply
    169,286.25x = 253,855.55 × 64,031.40
  4. Step 4: Simplify right side
    169,286.25x = 16,254,725,944.11
  5. Step 5: Solve for x
    x = 16,254,725,944.11/169,286.25
  6. Step 6: Final answer
    x = 96,019.17

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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.