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Finding the Fourth Proportional to 292,552.17, 403,721.91 and 158,416.17

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Solution

The fourth proportional to 292,552.17, 403,721.91 and 158,416.17 is: 218,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,552.17 : 403,721.91 = 158,416.17 : x
  2. Step 2: Convert to fraction form
    292,552.17/403,721.91 = 158,416.17/x
  3. Step 3: Cross multiply
    292,552.17x = 403,721.91 × 158,416.17
  4. Step 4: Simplify right side
    292,552.17x = 63,956,078,727.28
  5. Step 5: Solve for x
    x = 63,956,078,727.28/292,552.17
  6. Step 6: Final answer
    x = 218,614.27

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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.