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Finding the Fourth Proportional to 159,269.04, 238,906.80 and 70,506

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Solution

The fourth proportional to 159,269.04, 238,906.80 and 70,506 is: 105,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,269.04 : 238,906.80 = 70,506 : x
  2. Step 2: Convert to fraction form
    159,269.04/238,906.80 = 70,506/x
  3. Step 3: Cross multiply
    159,269.04x = 238,906.80 × 70,506
  4. Step 4: Simplify right side
    159,269.04x = 16,844,362,840.80
  5. Step 5: Solve for x
    x = 16,844,362,840.80/159,269.04
  6. Step 6: Final answer
    x = 105,760.43

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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.