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Finding the Fourth Proportional to 209,960.71, 289,750.30 and 114,468.05

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Solution

The fourth proportional to 209,960.71, 289,750.30 and 114,468.05 is: 157,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,960.71 : 289,750.30 = 114,468.05 : x
  2. Step 2: Convert to fraction form
    209,960.71/289,750.30 = 114,468.05/x
  3. Step 3: Cross multiply
    209,960.71x = 289,750.30 × 114,468.05
  4. Step 4: Simplify right side
    209,960.71x = 33,167,152,266.12
  5. Step 5: Solve for x
    x = 33,167,152,266.12/209,960.71
  6. Step 6: Final answer
    x = 157,968.38

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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.