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Finding the Fourth Proportional to 106,101.96, 158,939.37 and 49,095.51

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Solution

The fourth proportional to 106,101.96, 158,939.37 and 49,095.51 is: 73,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,101.96 : 158,939.37 = 49,095.51 : x
  2. Step 2: Convert to fraction form
    106,101.96/158,939.37 = 49,095.51/x
  3. Step 3: Cross multiply
    106,101.96x = 158,939.37 × 49,095.51
  4. Step 4: Simplify right side
    106,101.96x = 7,803,209,429.23
  5. Step 5: Solve for x
    x = 7,803,209,429.23/106,101.96
  6. Step 6: Final answer
    x = 73,544.44

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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.