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Finding the Fourth Proportional to 126,648.87, 190,047.90 and 46,743.09

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Solution

The fourth proportional to 126,648.87, 190,047.90 and 46,743.09 is: 70,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,648.87 : 190,047.90 = 46,743.09 : x
  2. Step 2: Convert to fraction form
    126,648.87/190,047.90 = 46,743.09/x
  3. Step 3: Cross multiply
    126,648.87x = 190,047.90 × 46,743.09
  4. Step 4: Simplify right side
    126,648.87x = 8,883,426,094.01
  5. Step 5: Solve for x
    x = 8,883,426,094.01/126,648.87
  6. Step 6: Final answer
    x = 70,142.17

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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.