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Finding the Fourth Proportional to 106,294.50, 146,686.41 and 58,547.70

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Solution

The fourth proportional to 106,294.50, 146,686.41 and 58,547.70 is: 80,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.50 : 146,686.41 = 58,547.70 : x
  2. Step 2: Convert to fraction form
    106,294.50/146,686.41 = 58,547.70/x
  3. Step 3: Cross multiply
    106,294.50x = 146,686.41 × 58,547.70
  4. Step 4: Simplify right side
    106,294.50x = 8,588,151,926.76
  5. Step 5: Solve for x
    x = 8,588,151,926.76/106,294.50
  6. Step 6: Final answer
    x = 80,795.83

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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.