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Finding the Fourth Proportional to 213,424.60, 320,153.10 and 63,653.17

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Solution

The fourth proportional to 213,424.60, 320,153.10 and 63,653.17 is: 95,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,424.60 : 320,153.10 = 63,653.17 : x
  2. Step 2: Convert to fraction form
    213,424.60/320,153.10 = 63,653.17/x
  3. Step 3: Cross multiply
    213,424.60x = 320,153.10 × 63,653.17
  4. Step 4: Simplify right side
    213,424.60x = 20,378,759,700.33
  5. Step 5: Solve for x
    x = 20,378,759,700.33/213,424.60
  6. Step 6: Final answer
    x = 95,484.59

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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.