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Finding the Fourth Proportional to 151,908, 227,855.12 and 46,722.40

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Solution

The fourth proportional to 151,908, 227,855.12 and 46,722.40 is: 70,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,908 : 227,855.12 = 46,722.40 : x
  2. Step 2: Convert to fraction form
    151,908/227,855.12 = 46,722.40/x
  3. Step 3: Cross multiply
    151,908x = 227,855.12 × 46,722.40
  4. Step 4: Simplify right side
    151,908x = 10,645,938,058.69
  5. Step 5: Solve for x
    x = 10,645,938,058.69/151,908
  6. Step 6: Final answer
    x = 70,081.48

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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.