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Finding the Fourth Proportional to 210,124.80, 315,964.80 and 175,910.40

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Solution

The fourth proportional to 210,124.80, 315,964.80 and 175,910.40 is: 264,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,124.80 : 315,964.80 = 175,910.40 : x
  2. Step 2: Convert to fraction form
    210,124.80/315,964.80 = 175,910.40/x
  3. Step 3: Cross multiply
    210,124.80x = 315,964.80 × 175,910.40
  4. Step 4: Simplify right side
    210,124.80x = 55,581,494,353.92
  5. Step 5: Solve for x
    x = 55,581,494,353.92/210,124.80
  6. Step 6: Final answer
    x = 264,516.58

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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.