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Finding the Fourth Proportional to 159,925.98, 239,971.98 and 65,225.64

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Solution

The fourth proportional to 159,925.98, 239,971.98 and 65,225.64 is: 97,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,925.98 : 239,971.98 = 65,225.64 : x
  2. Step 2: Convert to fraction form
    159,925.98/239,971.98 = 65,225.64/x
  3. Step 3: Cross multiply
    159,925.98x = 239,971.98 × 65,225.64
  4. Step 4: Simplify right side
    159,925.98x = 15,652,325,977.57
  5. Step 5: Solve for x
    x = 15,652,325,977.57/159,925.98
  6. Step 6: Final answer
    x = 97,872.32

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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.