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Finding the Fourth Proportional to 209,801.92, 314,532.06 and 97,552.84

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Solution

The fourth proportional to 209,801.92, 314,532.06 and 97,552.84 is: 146,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,801.92 : 314,532.06 = 97,552.84 : x
  2. Step 2: Convert to fraction form
    209,801.92/314,532.06 = 97,552.84/x
  3. Step 3: Cross multiply
    209,801.92x = 314,532.06 × 97,552.84
  4. Step 4: Simplify right side
    209,801.92x = 30,683,495,724.05
  5. Step 5: Solve for x
    x = 30,683,495,724.05/209,801.92
  6. Step 6: Final answer
    x = 146,249.83

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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.