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Finding the Fourth Proportional to 338,564.42, 507,687.43 and 125,184.90

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Solution

The fourth proportional to 338,564.42, 507,687.43 and 125,184.90 is: 187,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,564.42 : 507,687.43 = 125,184.90 : x
  2. Step 2: Convert to fraction form
    338,564.42/507,687.43 = 125,184.90/x
  3. Step 3: Cross multiply
    338,564.42x = 507,687.43 × 125,184.90
  4. Step 4: Simplify right side
    338,564.42x = 63,554,800,155.81
  5. Step 5: Solve for x
    x = 63,554,800,155.81/338,564.42
  6. Step 6: Final answer
    x = 187,718.49

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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.