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Finding the Fourth Proportional to 152,472.33, 210,408.69 and 84,488.70

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Solution

The fourth proportional to 152,472.33, 210,408.69 and 84,488.70 is: 116,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,472.33 : 210,408.69 = 84,488.70 : x
  2. Step 2: Convert to fraction form
    152,472.33/210,408.69 = 84,488.70/x
  3. Step 3: Cross multiply
    152,472.33x = 210,408.69 × 84,488.70
  4. Step 4: Simplify right side
    152,472.33x = 17,777,156,686.80
  5. Step 5: Solve for x
    x = 17,777,156,686.80/152,472.33
  6. Step 6: Final answer
    x = 116,592.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.