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Finding the Fourth Proportional to 230,650.30, 346,022.15 and 97,530.34

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Solution

The fourth proportional to 230,650.30, 346,022.15 and 97,530.34 is: 146,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,650.30 : 346,022.15 = 97,530.34 : x
  2. Step 2: Convert to fraction form
    230,650.30/346,022.15 = 97,530.34/x
  3. Step 3: Cross multiply
    230,650.30x = 346,022.15 × 97,530.34
  4. Step 4: Simplify right side
    230,650.30x = 33,747,657,937.03
  5. Step 5: Solve for x
    x = 33,747,657,937.03/230,650.30
  6. Step 6: Final answer
    x = 146,315.26

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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.