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Finding the Fourth Proportional to 199,454.01, 299,292.75 and 105,957.33

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Solution

The fourth proportional to 199,454.01, 299,292.75 and 105,957.33 is: 158,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,454.01 : 299,292.75 = 105,957.33 : x
  2. Step 2: Convert to fraction form
    199,454.01/299,292.75 = 105,957.33/x
  3. Step 3: Cross multiply
    199,454.01x = 299,292.75 × 105,957.33
  4. Step 4: Simplify right side
    199,454.01x = 31,712,260,678.36
  5. Step 5: Solve for x
    x = 31,712,260,678.36/199,454.01
  6. Step 6: Final answer
    x = 158,995.35

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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.