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Finding the Fourth Proportional to 114,235.70, 171,196.34 and 97,280.98

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Solution

The fourth proportional to 114,235.70, 171,196.34 and 97,280.98 is: 145,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,235.70 : 171,196.34 = 97,280.98 : x
  2. Step 2: Convert to fraction form
    114,235.70/171,196.34 = 97,280.98/x
  3. Step 3: Cross multiply
    114,235.70x = 171,196.34 × 97,280.98
  4. Step 4: Simplify right side
    114,235.70x = 16,654,147,727.61
  5. Step 5: Solve for x
    x = 16,654,147,727.61/114,235.70
  6. Step 6: Final answer
    x = 145,787.59

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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.