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Finding the Fourth Proportional to 292,365.20, 403,464 and 158,229.20

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Solution

The fourth proportional to 292,365.20, 403,464 and 158,229.20 is: 218,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,365.20 : 403,464 = 158,229.20 : x
  2. Step 2: Convert to fraction form
    292,365.20/403,464 = 158,229.20/x
  3. Step 3: Cross multiply
    292,365.20x = 403,464 × 158,229.20
  4. Step 4: Simplify right side
    292,365.20x = 63,839,783,931.48
  5. Step 5: Solve for x
    x = 63,839,783,931.48/292,365.20
  6. Step 6: Final answer
    x = 218,356.31

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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.