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Finding the Fourth Proportional to 213,237.42, 319,843.14 and 63,478.14

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Solution

The fourth proportional to 213,237.42, 319,843.14 and 63,478.14 is: 95,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,237.42 : 319,843.14 = 63,478.14 : x
  2. Step 2: Convert to fraction form
    213,237.42/319,843.14 = 63,478.14/x
  3. Step 3: Cross multiply
    213,237.42x = 319,843.14 × 63,478.14
  4. Step 4: Simplify right side
    213,237.42x = 20,303,047,618.96
  5. Step 5: Solve for x
    x = 20,303,047,618.96/213,237.42
  6. Step 6: Final answer
    x = 95,213.34

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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.