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Finding the Fourth Proportional to 100,896.84, 151,111.98 and 97,397.64

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Solution

The fourth proportional to 100,896.84, 151,111.98 and 97,397.64 is: 145,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896.84 : 151,111.98 = 97,397.64 : x
  2. Step 2: Convert to fraction form
    100,896.84/151,111.98 = 97,397.64/x
  3. Step 3: Cross multiply
    100,896.84x = 151,111.98 × 97,397.64
  4. Step 4: Simplify right side
    100,896.84x = 14,717,950,227.73
  5. Step 5: Solve for x
    x = 14,717,950,227.73/100,896.84
  6. Step 6: Final answer
    x = 145,871.27

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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.