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Finding the Fourth Proportional to 292,354.22, 403,448.03 and 158,218.22

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Solution

The fourth proportional to 292,354.22, 403,448.03 and 158,218.22 is: 218,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,354.22 : 403,448.03 = 158,218.22 : x
  2. Step 2: Convert to fraction form
    292,354.22/403,448.03 = 158,218.22/x
  3. Step 3: Cross multiply
    292,354.22x = 403,448.03 × 158,218.22
  4. Step 4: Simplify right side
    292,354.22x = 63,832,829,169.11
  5. Step 5: Solve for x
    x = 63,832,829,169.11/292,354.22
  6. Step 6: Final answer
    x = 218,340.71

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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.