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Finding the Fourth Proportional to 292,239.32, 403,268.04 and 164,926.76

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Solution

The fourth proportional to 292,239.32, 403,268.04 and 164,926.76 is: 227,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,239.32 : 403,268.04 = 164,926.76 : x
  2. Step 2: Convert to fraction form
    292,239.32/403,268.04 = 164,926.76/x
  3. Step 3: Cross multiply
    292,239.32x = 403,268.04 × 164,926.76
  4. Step 4: Simplify right side
    292,239.32x = 66,509,691,248.75
  5. Step 5: Solve for x
    x = 66,509,691,248.75/292,239.32
  6. Step 6: Final answer
    x = 227,586.39

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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.