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Finding the Fourth Proportional to 292,729.66, 438,795.38 and 166,102.40

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Solution

The fourth proportional to 292,729.66, 438,795.38 and 166,102.40 is: 248,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,729.66 : 438,795.38 = 166,102.40 : x
  2. Step 2: Convert to fraction form
    292,729.66/438,795.38 = 166,102.40/x
  3. Step 3: Cross multiply
    292,729.66x = 438,795.38 × 166,102.40
  4. Step 4: Simplify right side
    292,729.66x = 72,884,967,239.16
  5. Step 5: Solve for x
    x = 72,884,967,239.16/292,729.66
  6. Step 6: Final answer
    x = 248,983.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.