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Finding the Fourth Proportional to 213,141.64, 319,496.13 and 182,033.64

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Solution

The fourth proportional to 213,141.64, 319,496.13 and 182,033.64 is: 272,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,141.64 : 319,496.13 = 182,033.64 : x
  2. Step 2: Convert to fraction form
    213,141.64/319,496.13 = 182,033.64/x
  3. Step 3: Cross multiply
    213,141.64x = 319,496.13 × 182,033.64
  4. Step 4: Simplify right side
    213,141.64x = 58,159,043,509.81
  5. Step 5: Solve for x
    x = 58,159,043,509.81/213,141.64
  6. Step 6: Final answer
    x = 272,865.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.