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Finding the Fourth Proportional to 265,922.64, 398,767.02 and 99,594

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Solution

The fourth proportional to 265,922.64, 398,767.02 and 99,594 is: 149,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,922.64 : 398,767.02 = 99,594 : x
  2. Step 2: Convert to fraction form
    265,922.64/398,767.02 = 99,594/x
  3. Step 3: Cross multiply
    265,922.64x = 398,767.02 × 99,594
  4. Step 4: Simplify right side
    265,922.64x = 39,714,802,589.88
  5. Step 5: Solve for x
    x = 39,714,802,589.88/265,922.64
  6. Step 6: Final answer
    x = 149,347.20

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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.