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Finding the Fourth Proportional to 106,377.98, 146,802.52 and 58,631.46

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Solution

The fourth proportional to 106,377.98, 146,802.52 and 58,631.46 is: 80,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,377.98 : 146,802.52 = 58,631.46 : x
  2. Step 2: Convert to fraction form
    106,377.98/146,802.52 = 58,631.46/x
  3. Step 3: Cross multiply
    106,377.98x = 146,802.52 × 58,631.46
  4. Step 4: Simplify right side
    106,377.98x = 8,607,246,079.28
  5. Step 5: Solve for x
    x = 8,607,246,079.28/106,377.98
  6. Step 6: Final answer
    x = 80,911.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.