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Finding the Fourth Proportional to 338,082.40, 507,058.80 and 101,432.80

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Solution

The fourth proportional to 338,082.40, 507,058.80 and 101,432.80 is: 152,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,082.40 : 507,058.80 = 101,432.80 : x
  2. Step 2: Convert to fraction form
    338,082.40/507,058.80 = 101,432.80/x
  3. Step 3: Cross multiply
    338,082.40x = 507,058.80 × 101,432.80
  4. Step 4: Simplify right side
    338,082.40x = 51,432,393,848.64
  5. Step 5: Solve for x
    x = 51,432,393,848.64/338,082.40
  6. Step 6: Final answer
    x = 152,129.76

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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.