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Finding the Fourth Proportional to 213,295.48, 319,002.08 and 189,768.13

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Solution

The fourth proportional to 213,295.48, 319,002.08 and 189,768.13 is: 283,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,295.48 : 319,002.08 = 189,768.13 : x
  2. Step 2: Convert to fraction form
    213,295.48/319,002.08 = 189,768.13/x
  3. Step 3: Cross multiply
    213,295.48x = 319,002.08 × 189,768.13
  4. Step 4: Simplify right side
    213,295.48x = 60,536,426,441.36
  5. Step 5: Solve for x
    x = 60,536,426,441.36/213,295.48
  6. Step 6: Final answer
    x = 283,814.86

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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.