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Finding the Fourth Proportional to 202,755.86, 304,058.16 and 69,598.34

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Solution

The fourth proportional to 202,755.86, 304,058.16 and 69,598.34 is: 104,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,755.86 : 304,058.16 = 69,598.34 : x
  2. Step 2: Convert to fraction form
    202,755.86/304,058.16 = 69,598.34/x
  3. Step 3: Cross multiply
    202,755.86x = 304,058.16 × 69,598.34
  4. Step 4: Simplify right side
    202,755.86x = 21,161,943,199.45
  5. Step 5: Solve for x
    x = 21,161,943,199.45/202,755.86
  6. Step 6: Final answer
    x = 104,371.55

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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.