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Finding the Fourth Proportional to 207,829, 286,832.10 and 117,203.56

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Solution

The fourth proportional to 207,829, 286,832.10 and 117,203.56 is: 161,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,829 : 286,832.10 = 117,203.56 : x
  2. Step 2: Convert to fraction form
    207,829/286,832.10 = 117,203.56/x
  3. Step 3: Cross multiply
    207,829x = 286,832.10 × 117,203.56
  4. Step 4: Simplify right side
    207,829x = 33,617,743,242.28
  5. Step 5: Solve for x
    x = 33,617,743,242.28/207,829
  6. Step 6: Final answer
    x = 161,756.75

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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.