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Finding the Fourth Proportional to 265,893.20, 398,723.04 and 99,564.56

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Solution

The fourth proportional to 265,893.20, 398,723.04 and 99,564.56 is: 149,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,893.20 : 398,723.04 = 99,564.56 : x
  2. Step 2: Convert to fraction form
    265,893.20/398,723.04 = 99,564.56/x
  3. Step 3: Cross multiply
    265,893.20x = 398,723.04 × 99,564.56
  4. Step 4: Simplify right side
    265,893.20x = 39,698,684,039.46
  5. Step 5: Solve for x
    x = 39,698,684,039.46/265,893.20
  6. Step 6: Final answer
    x = 149,303.12

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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.