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Finding the Fourth Proportional to 159,102.32, 238,653.39 and 46,783.47

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Solution

The fourth proportional to 159,102.32, 238,653.39 and 46,783.47 is: 70,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,102.32 : 238,653.39 = 46,783.47 : x
  2. Step 2: Convert to fraction form
    159,102.32/238,653.39 = 46,783.47/x
  3. Step 3: Cross multiply
    159,102.32x = 238,653.39 × 46,783.47
  4. Step 4: Simplify right side
    159,102.32x = 11,165,033,711.46
  5. Step 5: Solve for x
    x = 11,165,033,711.46/159,102.32
  6. Step 6: Final answer
    x = 70,175.18

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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.