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Finding the Fourth Proportional to 209,857.56, 289,602.47 and 114,364.23

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Solution

The fourth proportional to 209,857.56, 289,602.47 and 114,364.23 is: 157,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.56 : 289,602.47 = 114,364.23 : x
  2. Step 2: Convert to fraction form
    209,857.56/289,602.47 = 114,364.23/x
  3. Step 3: Cross multiply
    209,857.56x = 289,602.47 × 114,364.23
  4. Step 4: Simplify right side
    209,857.56x = 33,120,163,487.65
  5. Step 5: Solve for x
    x = 33,120,163,487.65/209,857.56
  6. Step 6: Final answer
    x = 157,822.11

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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.