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Finding the Fourth Proportional to 209,649.74, 314,523.78 and 59,892.16

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Solution

The fourth proportional to 209,649.74, 314,523.78 and 59,892.16 is: 89,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,649.74 : 314,523.78 = 59,892.16 : x
  2. Step 2: Convert to fraction form
    209,649.74/314,523.78 = 59,892.16/x
  3. Step 3: Cross multiply
    209,649.74x = 314,523.78 × 59,892.16
  4. Step 4: Simplify right side
    209,649.74x = 18,837,508,555.56
  5. Step 5: Solve for x
    x = 18,837,508,555.56/209,649.74
  6. Step 6: Final answer
    x = 89,852.29

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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.