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Finding the Fourth Proportional to 106,896.47, 160,400.03 and 77,556.47

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Solution

The fourth proportional to 106,896.47, 160,400.03 and 77,556.47 is: 116,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,896.47 : 160,400.03 = 77,556.47 : x
  2. Step 2: Convert to fraction form
    106,896.47/160,400.03 = 77,556.47/x
  3. Step 3: Cross multiply
    106,896.47x = 160,400.03 × 77,556.47
  4. Step 4: Simplify right side
    106,896.47x = 12,440,058,924.91
  5. Step 5: Solve for x
    x = 12,440,058,924.91/106,896.47
  6. Step 6: Final answer
    x = 116,374.84

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1.5x scale

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.