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Finding the Fourth Proportional to 209,752.53, 289,457.00 and 114,259.22

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Solution

The fourth proportional to 209,752.53, 289,457.00 and 114,259.22 is: 157,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,752.53 : 289,457.00 = 114,259.22 : x
  2. Step 2: Convert to fraction form
    209,752.53/289,457.00 = 114,259.22/x
  3. Step 3: Cross multiply
    209,752.53x = 289,457.00 × 114,259.22
  4. Step 4: Simplify right side
    209,752.53x = 33,073,132,809.80
  5. Step 5: Solve for x
    x = 33,073,132,809.80/209,752.53
  6. Step 6: Final answer
    x = 157,676.92

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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.