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Finding the Fourth Proportional to 209,570.92, 289,051.90 and 133,023.52

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Solution

The fourth proportional to 209,570.92, 289,051.90 and 133,023.52 is: 183,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,570.92 : 289,051.90 = 133,023.52 : x
  2. Step 2: Convert to fraction form
    209,570.92/289,051.90 = 133,023.52/x
  3. Step 3: Cross multiply
    209,570.92x = 289,051.90 × 133,023.52
  4. Step 4: Simplify right side
    209,570.92x = 38,450,701,200.69
  5. Step 5: Solve for x
    x = 38,450,701,200.69/209,570.92
  6. Step 6: Final answer
    x = 183,473.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.