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Finding the Fourth Proportional to 159,065.10, 238,599.29 and 46,747.32

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Solution

The fourth proportional to 159,065.10, 238,599.29 and 46,747.32 is: 70,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,065.10 : 238,599.29 = 46,747.32 : x
  2. Step 2: Convert to fraction form
    159,065.10/238,599.29 = 46,747.32/x
  3. Step 3: Cross multiply
    159,065.10x = 238,599.29 × 46,747.32
  4. Step 4: Simplify right side
    159,065.10x = 11,153,876,583.52
  5. Step 5: Solve for x
    x = 11,153,876,583.52/159,065.10
  6. Step 6: Final answer
    x = 70,121.46

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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.