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Finding the Fourth Proportional to 313,816.05, 470,459.52 and 136,189.26

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Solution

The fourth proportional to 313,816.05, 470,459.52 and 136,189.26 is: 204,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,816.05 : 470,459.52 = 136,189.26 : x
  2. Step 2: Convert to fraction form
    313,816.05/470,459.52 = 136,189.26/x
  3. Step 3: Cross multiply
    313,816.05x = 470,459.52 × 136,189.26
  4. Step 4: Simplify right side
    313,816.05x = 64,071,533,888.76
  5. Step 5: Solve for x
    x = 64,071,533,888.76/313,816.05
  6. Step 6: Final answer
    x = 204,169.08

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1.5x scale

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.