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Finding the Fourth Proportional to 338,106.93, 507,209.85 and 101,468.31

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Solution

The fourth proportional to 338,106.93, 507,209.85 and 101,468.31 is: 152,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,106.93 : 507,209.85 = 101,468.31 : x
  2. Step 2: Convert to fraction form
    338,106.93/507,209.85 = 101,468.31/x
  3. Step 3: Cross multiply
    338,106.93x = 507,209.85 × 101,468.31
  4. Step 4: Simplify right side
    338,106.93x = 51,465,726,294.85
  5. Step 5: Solve for x
    x = 51,465,726,294.85/338,106.93
  6. Step 6: Final answer
    x = 152,217.31

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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.