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Finding the Fourth Proportional to 106,392.17, 146,821.16 and 58,646.32

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Solution

The fourth proportional to 106,392.17, 146,821.16 and 58,646.32 is: 80,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392.17 : 146,821.16 = 58,646.32 : x
  2. Step 2: Convert to fraction form
    106,392.17/146,821.16 = 58,646.32/x
  3. Step 3: Cross multiply
    106,392.17x = 146,821.16 × 58,646.32
  4. Step 4: Simplify right side
    106,392.17x = 8,610,519,998.03
  5. Step 5: Solve for x
    x = 8,610,519,998.03/106,392.17
  6. Step 6: Final answer
    x = 80,931.90

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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.