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Finding the Fourth Proportional to 106,377.65, 146,802.17 and 58,632.83

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Solution

The fourth proportional to 106,377.65, 146,802.17 and 58,632.83 is: 80,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,377.65 : 146,802.17 = 58,632.83 : x
  2. Step 2: Convert to fraction form
    106,377.65/146,802.17 = 58,632.83/x
  3. Step 3: Cross multiply
    106,377.65x = 146,802.17 × 58,632.83
  4. Step 4: Simplify right side
    106,377.65x = 8,607,426,089.81
  5. Step 5: Solve for x
    x = 8,607,426,089.81/106,377.65
  6. Step 6: Final answer
    x = 80,913.86

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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.