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Finding the Fourth Proportional to 265,412.78, 398,290.45 and 96,919.01

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Solution

The fourth proportional to 265,412.78, 398,290.45 and 96,919.01 is: 145,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,412.78 : 398,290.45 = 96,919.01 : x
  2. Step 2: Convert to fraction form
    265,412.78/398,290.45 = 96,919.01/x
  3. Step 3: Cross multiply
    265,412.78x = 398,290.45 × 96,919.01
  4. Step 4: Simplify right side
    265,412.78x = 38,601,916,106.45
  5. Step 5: Solve for x
    x = 38,601,916,106.45/265,412.78
  6. Step 6: Final answer
    x = 145,441.06

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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.