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Finding the Fourth Proportional to 292,360.78, 403,457.93 and 158,224.78

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Solution

The fourth proportional to 292,360.78, 403,457.93 and 158,224.78 is: 218,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,360.78 : 403,457.93 = 158,224.78 : x
  2. Step 2: Convert to fraction form
    292,360.78/403,457.93 = 158,224.78/x
  3. Step 3: Cross multiply
    292,360.78x = 403,457.93 × 158,224.78
  4. Step 4: Simplify right side
    292,360.78x = 63,837,042,213.51
  5. Step 5: Solve for x
    x = 63,837,042,213.51/292,360.78
  6. Step 6: Final answer
    x = 218,350.23

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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.