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Finding the Fourth Proportional to 106,344.84, 146,762.43 and 58,598.18

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Solution

The fourth proportional to 106,344.84, 146,762.43 and 58,598.18 is: 80,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,344.84 : 146,762.43 = 58,598.18 : x
  2. Step 2: Convert to fraction form
    106,344.84/146,762.43 = 58,598.18/x
  3. Step 3: Cross multiply
    106,344.84x = 146,762.43 × 58,598.18
  4. Step 4: Simplify right side
    106,344.84x = 8,600,011,290.38
  5. Step 5: Solve for x
    x = 8,600,011,290.38/106,344.84
  6. Step 6: Final answer
    x = 80,869.10

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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.