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Finding the Fourth Proportional to 338,541.03, 507,813.36 and 101,882.10

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Solution

The fourth proportional to 338,541.03, 507,813.36 and 101,882.10 is: 152,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,541.03 : 507,813.36 = 101,882.10 : x
  2. Step 2: Convert to fraction form
    338,541.03/507,813.36 = 101,882.10/x
  3. Step 3: Cross multiply
    338,541.03x = 507,813.36 × 101,882.10
  4. Step 4: Simplify right side
    338,541.03x = 51,737,091,524.86
  5. Step 5: Solve for x
    x = 51,737,091,524.86/338,541.03
  6. Step 6: Final answer
    x = 152,823.70

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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.