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Finding the Fourth Proportional to 338,107.43, 507,210.60 and 101,468.81

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Solution

The fourth proportional to 338,107.43, 507,210.60 and 101,468.81 is: 152,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,107.43 : 507,210.60 = 101,468.81 : x
  2. Step 2: Convert to fraction form
    338,107.43/507,210.60 = 101,468.81/x
  3. Step 3: Cross multiply
    338,107.43x = 507,210.60 × 101,468.81
  4. Step 4: Simplify right side
    338,107.43x = 51,466,056,001.39
  5. Step 5: Solve for x
    x = 51,466,056,001.39/338,107.43
  6. Step 6: Final answer
    x = 152,218.06

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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.