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Finding the Fourth Proportional to 230,277.69, 345,463.11 and 97,158.24

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Solution

The fourth proportional to 230,277.69, 345,463.11 and 97,158.24 is: 145,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,277.69 : 345,463.11 = 97,158.24 : x
  2. Step 2: Convert to fraction form
    230,277.69/345,463.11 = 97,158.24/x
  3. Step 3: Cross multiply
    230,277.69x = 345,463.11 × 97,158.24
  4. Step 4: Simplify right side
    230,277.69x = 33,564,587,752.53
  5. Step 5: Solve for x
    x = 33,564,587,752.53/230,277.69
  6. Step 6: Final answer
    x = 145,757.01

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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.