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Finding the Fourth Proportional to 209,408.93, 314,113.44 and 146,352.22

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Solution

The fourth proportional to 209,408.93, 314,113.44 and 146,352.22 is: 219,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,408.93 : 314,113.44 = 146,352.22 : x
  2. Step 2: Convert to fraction form
    209,408.93/314,113.44 = 146,352.22/x
  3. Step 3: Cross multiply
    209,408.93x = 314,113.44 × 146,352.22
  4. Step 4: Simplify right side
    209,408.93x = 45,971,198,113.24
  5. Step 5: Solve for x
    x = 45,971,198,113.24/209,408.93
  6. Step 6: Final answer
    x = 219,528.35

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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.