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Finding the Fourth Proportional to 209,602.81, 289,251.79 and 114,109.48

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Solution

The fourth proportional to 209,602.81, 289,251.79 and 114,109.48 is: 157,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,602.81 : 289,251.79 = 114,109.48 : x
  2. Step 2: Convert to fraction form
    209,602.81/289,251.79 = 114,109.48/x
  3. Step 3: Cross multiply
    209,602.81x = 289,251.79 × 114,109.48
  4. Step 4: Simplify right side
    209,602.81x = 33,006,371,345.97
  5. Step 5: Solve for x
    x = 33,006,371,345.97/209,602.81
  6. Step 6: Final answer
    x = 157,471.03

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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.