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Finding the Fourth Proportional to 266,057.35, 398,848.66 and 97,538.32

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Solution

The fourth proportional to 266,057.35, 398,848.66 and 97,538.32 is: 146,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,057.35 : 398,848.66 = 97,538.32 : x
  2. Step 2: Convert to fraction form
    266,057.35/398,848.66 = 97,538.32/x
  3. Step 3: Cross multiply
    266,057.35x = 398,848.66 × 97,538.32
  4. Step 4: Simplify right side
    266,057.35x = 38,903,028,204.93
  5. Step 5: Solve for x
    x = 38,903,028,204.93/266,057.35
  6. Step 6: Final answer
    x = 146,220.46

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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.