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Finding the Fourth Proportional to 159,291.77, 238,907.27 and 46,977.17

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Solution

The fourth proportional to 159,291.77, 238,907.27 and 46,977.17 is: 70,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,291.77 : 238,907.27 = 46,977.17 : x
  2. Step 2: Convert to fraction form
    159,291.77/238,907.27 = 46,977.17/x
  3. Step 3: Cross multiply
    159,291.77x = 238,907.27 × 46,977.17
  4. Step 4: Simplify right side
    159,291.77x = 11,223,186,359.93
  5. Step 5: Solve for x
    x = 11,223,186,359.93/159,291.77
  6. Step 6: Final answer
    x = 70,456.79

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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.