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Finding the Fourth Proportional to 135,026.40, 201,956.40 and 114,031.20

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Solution

The fourth proportional to 135,026.40, 201,956.40 and 114,031.20 is: 170,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,026.40 : 201,956.40 = 114,031.20 : x
  2. Step 2: Convert to fraction form
    135,026.40/201,956.40 = 114,031.20/x
  3. Step 3: Cross multiply
    135,026.40x = 201,956.40 × 114,031.20
  4. Step 4: Simplify right side
    135,026.40x = 23,029,330,639.68
  5. Step 5: Solve for x
    x = 23,029,330,639.68/135,026.40
  6. Step 6: Final answer
    x = 170,554.28

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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.