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Finding the Fourth Proportional to 210,013.80, 315,020.70 and 177,208.80

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Solution

The fourth proportional to 210,013.80, 315,020.70 and 177,208.80 is: 265,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,013.80 : 315,020.70 = 177,208.80 : x
  2. Step 2: Convert to fraction form
    210,013.80/315,020.70 = 177,208.80/x
  3. Step 3: Cross multiply
    210,013.80x = 315,020.70 × 177,208.80
  4. Step 4: Simplify right side
    210,013.80x = 55,824,440,222.16
  5. Step 5: Solve for x
    x = 55,824,440,222.16/210,013.80
  6. Step 6: Final answer
    x = 265,813.20

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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.