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Finding the Fourth Proportional to 292,189.82, 403,199.79 and 164,877.26

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Solution

The fourth proportional to 292,189.82, 403,199.79 and 164,877.26 is: 227,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,189.82 : 403,199.79 = 164,877.26 : x
  2. Step 2: Convert to fraction form
    292,189.82/403,199.79 = 164,877.26/x
  3. Step 3: Cross multiply
    292,189.82x = 403,199.79 × 164,877.26
  4. Step 4: Simplify right side
    292,189.82x = 66,478,476,607.78
  5. Step 5: Solve for x
    x = 66,478,476,607.78/292,189.82
  6. Step 6: Final answer
    x = 227,518.11

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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.