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Finding the Fourth Proportional to 230,441, 345,797.58 and 97,312.64

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Solution

The fourth proportional to 230,441, 345,797.58 and 97,312.64 is: 146,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,441 : 345,797.58 = 97,312.64 : x
  2. Step 2: Convert to fraction form
    230,441/345,797.58 = 97,312.64/x
  3. Step 3: Cross multiply
    230,441x = 345,797.58 × 97,312.64
  4. Step 4: Simplify right side
    230,441x = 33,650,475,415.41
  5. Step 5: Solve for x
    x = 33,650,475,415.41/230,441
  6. Step 6: Final answer
    x = 146,026.43

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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.