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Finding the Fourth Proportional to 152,934, 229,401.04 and 47,762

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Solution

The fourth proportional to 152,934, 229,401.04 and 47,762 is: 71,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,934 : 229,401.04 = 47,762 : x
  2. Step 2: Convert to fraction form
    152,934/229,401.04 = 47,762/x
  3. Step 3: Cross multiply
    152,934x = 229,401.04 × 47,762
  4. Step 4: Simplify right side
    152,934x = 10,956,652,472.48
  5. Step 5: Solve for x
    x = 10,956,652,472.48/152,934
  6. Step 6: Final answer
    x = 71,643.01

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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.