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Finding the Fourth Proportional to 338,887.91, 508,335.51 and 102,232.64

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Solution

The fourth proportional to 338,887.91, 508,335.51 and 102,232.64 is: 153,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,887.91 : 508,335.51 = 102,232.64 : x
  2. Step 2: Convert to fraction form
    338,887.91/508,335.51 = 102,232.64/x
  3. Step 3: Cross multiply
    338,887.91x = 508,335.51 × 102,232.64
  4. Step 4: Simplify right side
    338,887.91x = 51,968,478,651.37
  5. Step 5: Solve for x
    x = 51,968,478,651.37/338,887.91
  6. Step 6: Final answer
    x = 153,350.05

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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.