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Finding the Fourth Proportional to 292,019.78, 402,993.16 and 164,670.50

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Solution

The fourth proportional to 292,019.78, 402,993.16 and 164,670.50 is: 227,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,019.78 : 402,993.16 = 164,670.50 : x
  2. Step 2: Convert to fraction form
    292,019.78/402,993.16 = 164,670.50/x
  3. Step 3: Cross multiply
    292,019.78x = 402,993.16 × 164,670.50
  4. Step 4: Simplify right side
    292,019.78x = 66,361,085,153.78
  5. Step 5: Solve for x
    x = 66,361,085,153.78/292,019.78
  6. Step 6: Final answer
    x = 227,248.60

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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.