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Finding the Fourth Proportional to 282,857.63, 390,232.19 and 161,933.73

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Solution

The fourth proportional to 282,857.63, 390,232.19 and 161,933.73 is: 223,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,857.63 : 390,232.19 = 161,933.73 : x
  2. Step 2: Convert to fraction form
    282,857.63/390,232.19 = 161,933.73/x
  3. Step 3: Cross multiply
    282,857.63x = 390,232.19 × 161,933.73
  4. Step 4: Simplify right side
    282,857.63x = 63,191,753,283.10
  5. Step 5: Solve for x
    x = 63,191,753,283.10/282,857.63
  6. Step 6: Final answer
    x = 223,404.81

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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.