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Finding the Fourth Proportional to 230,291.47, 345,288.84 and 97,136.11

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Solution

The fourth proportional to 230,291.47, 345,288.84 and 97,136.11 is: 145,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,291.47 : 345,288.84 = 97,136.11 : x
  2. Step 2: Convert to fraction form
    230,291.47/345,288.84 = 97,136.11/x
  3. Step 3: Cross multiply
    230,291.47x = 345,288.84 × 97,136.11
  4. Step 4: Simplify right side
    230,291.47x = 33,540,014,744.01
  5. Step 5: Solve for x
    x = 33,540,014,744.01/230,291.47
  6. Step 6: Final answer
    x = 145,641.59

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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.