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Finding the Fourth Proportional to 159,311.40, 238,967.10 and 48,503.40

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Solution

The fourth proportional to 159,311.40, 238,967.10 and 48,503.40 is: 72,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311.40 : 238,967.10 = 48,503.40 : x
  2. Step 2: Convert to fraction form
    159,311.40/238,967.10 = 48,503.40/x
  3. Step 3: Cross multiply
    159,311.40x = 238,967.10 × 48,503.40
  4. Step 4: Simplify right side
    159,311.40x = 11,590,716,838.14
  5. Step 5: Solve for x
    x = 11,590,716,838.14/159,311.40
  6. Step 6: Final answer
    x = 72,755.10

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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.