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Finding the Fourth Proportional to 209,457.59, 313,903.08 and 150,162.35

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Solution

The fourth proportional to 209,457.59, 313,903.08 and 150,162.35 is: 225,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,457.59 : 313,903.08 = 150,162.35 : x
  2. Step 2: Convert to fraction form
    209,457.59/313,903.08 = 150,162.35/x
  3. Step 3: Cross multiply
    209,457.59x = 313,903.08 × 150,162.35
  4. Step 4: Simplify right side
    209,457.59x = 47,136,422,595.52
  5. Step 5: Solve for x
    x = 47,136,422,595.52/209,457.59
  6. Step 6: Final answer
    x = 225,040.42

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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.