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Finding the Fourth Proportional to 313,643.60, 470,508.60 and 136,145.60

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Solution

The fourth proportional to 313,643.60, 470,508.60 and 136,145.60 is: 204,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,643.60 : 470,508.60 = 136,145.60 : x
  2. Step 2: Convert to fraction form
    313,643.60/470,508.60 = 136,145.60/x
  3. Step 3: Cross multiply
    313,643.60x = 470,508.60 × 136,145.60
  4. Step 4: Simplify right side
    313,643.60x = 64,057,675,652.16
  5. Step 5: Solve for x
    x = 64,057,675,652.16/313,643.60
  6. Step 6: Final answer
    x = 204,237.15

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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.