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Finding the Fourth Proportional to 202,208.10, 303,312.15 and 162,842.10

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Solution

The fourth proportional to 202,208.10, 303,312.15 and 162,842.10 is: 244,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208.10 : 303,312.15 = 162,842.10 : x
  2. Step 2: Convert to fraction form
    202,208.10/303,312.15 = 162,842.10/x
  3. Step 3: Cross multiply
    202,208.10x = 303,312.15 × 162,842.10
  4. Step 4: Simplify right side
    202,208.10x = 49,391,987,461.52
  5. Step 5: Solve for x
    x = 49,391,987,461.52/202,208.10
  6. Step 6: Final answer
    x = 244,263.15

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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.