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Finding the Fourth Proportional to 253,476.77, 349,798.25 and 157,983.38

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Solution

The fourth proportional to 253,476.77, 349,798.25 and 157,983.38 is: 218,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,476.77 : 349,798.25 = 157,983.38 : x
  2. Step 2: Convert to fraction form
    253,476.77/349,798.25 = 157,983.38/x
  3. Step 3: Cross multiply
    253,476.77x = 349,798.25 × 157,983.38
  4. Step 4: Simplify right side
    253,476.77x = 55,262,307,314.18
  5. Step 5: Solve for x
    x = 55,262,307,314.18/253,476.77
  6. Step 6: Final answer
    x = 218,017.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.