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Finding the Fourth Proportional to 106,377.90, 146,802.52 and 58,633.08

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Solution

The fourth proportional to 106,377.90, 146,802.52 and 58,633.08 is: 80,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,377.90 : 146,802.52 = 58,633.08 : x
  2. Step 2: Convert to fraction form
    106,377.90/146,802.52 = 58,633.08/x
  3. Step 3: Cross multiply
    106,377.90x = 146,802.52 × 58,633.08
  4. Step 4: Simplify right side
    106,377.90x = 8,607,483,899.36
  5. Step 5: Solve for x
    x = 8,607,483,899.36/106,377.90
  6. Step 6: Final answer
    x = 80,914.21

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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.