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Finding the Fourth Proportional to 210,343.20, 314,858.70 and 151,294.20

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Solution

The fourth proportional to 210,343.20, 314,858.70 and 151,294.20 is: 226,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,343.20 : 314,858.70 = 151,294.20 : x
  2. Step 2: Convert to fraction form
    210,343.20/314,858.70 = 151,294.20/x
  3. Step 3: Cross multiply
    210,343.20x = 314,858.70 × 151,294.20
  4. Step 4: Simplify right side
    210,343.20x = 47,636,295,129.54
  5. Step 5: Solve for x
    x = 47,636,295,129.54/210,343.20
  6. Step 6: Final answer
    x = 226,469.38

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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.