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Finding the Fourth Proportional to 213,499.80, 319,904.10 and 134,472.60

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Solution

The fourth proportional to 213,499.80, 319,904.10 and 134,472.60 is: 201,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,499.80 : 319,904.10 = 134,472.60 : x
  2. Step 2: Convert to fraction form
    213,499.80/319,904.10 = 134,472.60/x
  3. Step 3: Cross multiply
    213,499.80x = 319,904.10 × 134,472.60
  4. Step 4: Simplify right side
    213,499.80x = 43,018,336,077.66
  5. Step 5: Solve for x
    x = 43,018,336,077.66/213,499.80
  6. Step 6: Final answer
    x = 201,491.22

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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.