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Finding the Fourth Proportional to 338,102.43, 507,203.07 and 101,463.78

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Solution

The fourth proportional to 338,102.43, 507,203.07 and 101,463.78 is: 152,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,102.43 : 507,203.07 = 101,463.78 : x
  2. Step 2: Convert to fraction form
    338,102.43/507,203.07 = 101,463.78/x
  3. Step 3: Cross multiply
    338,102.43x = 507,203.07 × 101,463.78
  4. Step 4: Simplify right side
    338,102.43x = 51,462,740,709.80
  5. Step 5: Solve for x
    x = 51,462,740,709.80/338,102.43
  6. Step 6: Final answer
    x = 152,210.50

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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.