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Finding the Fourth Proportional to 371,858.16, 513,164.04 and 202,092.32

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Solution

The fourth proportional to 371,858.16, 513,164.04 and 202,092.32 is: 278,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,858.16 : 513,164.04 = 202,092.32 : x
  2. Step 2: Convert to fraction form
    371,858.16/513,164.04 = 202,092.32/x
  3. Step 3: Cross multiply
    371,858.16x = 513,164.04 × 202,092.32
  4. Step 4: Simplify right side
    371,858.16x = 103,706,511,384.17
  5. Step 5: Solve for x
    x = 103,706,511,384.17/371,858.16
  6. Step 6: Final answer
    x = 278,887.28

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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.