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Finding the Fourth Proportional to 106,951.49, 160,584.93 and 59,658.98

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Solution

The fourth proportional to 106,951.49, 160,584.93 and 59,658.98 is: 89,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,951.49 : 160,584.93 = 59,658.98 : x
  2. Step 2: Convert to fraction form
    106,951.49/160,584.93 = 59,658.98/x
  3. Step 3: Cross multiply
    106,951.49x = 160,584.93 × 59,658.98
  4. Step 4: Simplify right side
    106,951.49x = 9,580,333,127.17
  5. Step 5: Solve for x
    x = 9,580,333,127.17/106,951.49
  6. Step 6: Final answer
    x = 89,576.43

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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.