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Finding the Fourth Proportional to 212,710.80, 319,066.20 and 149,725.20

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Solution

The fourth proportional to 212,710.80, 319,066.20 and 149,725.20 is: 224,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,710.80 : 319,066.20 = 149,725.20 : x
  2. Step 2: Convert to fraction form
    212,710.80/319,066.20 = 149,725.20/x
  3. Step 3: Cross multiply
    212,710.80x = 319,066.20 × 149,725.20
  4. Step 4: Simplify right side
    212,710.80x = 47,772,250,608.24
  5. Step 5: Solve for x
    x = 47,772,250,608.24/212,710.80
  6. Step 6: Final answer
    x = 224,587.80

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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.