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Finding the Fourth Proportional to 159,870.96, 239,944.68 and 61,444.08

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Solution

The fourth proportional to 159,870.96, 239,944.68 and 61,444.08 is: 92,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,870.96 : 239,944.68 = 61,444.08 : x
  2. Step 2: Convert to fraction form
    159,870.96/239,944.68 = 61,444.08/x
  3. Step 3: Cross multiply
    159,870.96x = 239,944.68 × 61,444.08
  4. Step 4: Simplify right side
    159,870.96x = 14,743,180,113.49
  5. Step 5: Solve for x
    x = 14,743,180,113.49/159,870.96
  6. Step 6: Final answer
    x = 92,219.25

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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.