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Finding the Fourth Proportional to 292,296.54, 438,464.62 and 102,733.86

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Solution

The fourth proportional to 292,296.54, 438,464.62 and 102,733.86 is: 154,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,296.54 : 438,464.62 = 102,733.86 : x
  2. Step 2: Convert to fraction form
    292,296.54/438,464.62 = 102,733.86/x
  3. Step 3: Cross multiply
    292,296.54x = 438,464.62 × 102,733.86
  4. Step 4: Simplify right side
    292,296.54x = 45,045,162,886.03
  5. Step 5: Solve for x
    x = 45,045,162,886.03/292,296.54
  6. Step 6: Final answer
    x = 154,107.75

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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.