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Finding the Fourth Proportional to 159,208.13, 238,773.93 and 46,857.84

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Solution

The fourth proportional to 159,208.13, 238,773.93 and 46,857.84 is: 70,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,208.13 : 238,773.93 = 46,857.84 : x
  2. Step 2: Convert to fraction form
    159,208.13/238,773.93 = 46,857.84/x
  3. Step 3: Cross multiply
    159,208.13x = 238,773.93 × 46,857.84
  4. Step 4: Simplify right side
    159,208.13x = 11,188,430,880.10
  5. Step 5: Solve for x
    x = 11,188,430,880.10/159,208.13
  6. Step 6: Final answer
    x = 70,275.50

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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.