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Finding the Fourth Proportional to 210,338.03, 315,036.51 and 97,849.69

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Solution

The fourth proportional to 210,338.03, 315,036.51 and 97,849.69 is: 146,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,338.03 : 315,036.51 = 97,849.69 : x
  2. Step 2: Convert to fraction form
    210,338.03/315,036.51 = 97,849.69/x
  3. Step 3: Cross multiply
    210,338.03x = 315,036.51 × 97,849.69
  4. Step 4: Simplify right side
    210,338.03x = 30,826,223,687.65
  5. Step 5: Solve for x
    x = 30,826,223,687.65/210,338.03
  6. Step 6: Final answer
    x = 146,555.63

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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.