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Finding the Fourth Proportional to 292,253.23, 438,404.67 and 102,697.21

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Solution

The fourth proportional to 292,253.23, 438,404.67 and 102,697.21 is: 154,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,253.23 : 438,404.67 = 102,697.21 : x
  2. Step 2: Convert to fraction form
    292,253.23/438,404.67 = 102,697.21/x
  3. Step 3: Cross multiply
    292,253.23x = 438,404.67 × 102,697.21
  4. Step 4: Simplify right side
    292,253.23x = 45,022,936,459.97
  5. Step 5: Solve for x
    x = 45,022,936,459.97/292,253.23
  6. Step 6: Final answer
    x = 154,054.54

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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.