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Finding the Fourth Proportional to 231,384, 319,296.60 and 128,011.98

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Solution

The fourth proportional to 231,384, 319,296.60 and 128,011.98 is: 176,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,384 : 319,296.60 = 128,011.98 : x
  2. Step 2: Convert to fraction form
    231,384/319,296.60 = 128,011.98/x
  3. Step 3: Cross multiply
    231,384x = 319,296.60 × 128,011.98
  4. Step 4: Simplify right side
    231,384x = 40,873,789,973.27
  5. Step 5: Solve for x
    x = 40,873,789,973.27/231,384
  6. Step 6: Final answer
    x = 176,649.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.