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Finding the Fourth Proportional to 159,055.80, 238,408.74 and 65,510.52

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Solution

The fourth proportional to 159,055.80, 238,408.74 and 65,510.52 is: 98,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,055.80 : 238,408.74 = 65,510.52 : x
  2. Step 2: Convert to fraction form
    159,055.80/238,408.74 = 65,510.52/x
  3. Step 3: Cross multiply
    159,055.80x = 238,408.74 × 65,510.52
  4. Step 4: Simplify right side
    159,055.80x = 15,618,280,529.94
  5. Step 5: Solve for x
    x = 15,618,280,529.94/159,055.80
  6. Step 6: Final answer
    x = 98,193.72

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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.