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Finding the Fourth Proportional to 106,355.70, 146,767.95 and 57,956.58

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Solution

The fourth proportional to 106,355.70, 146,767.95 and 57,956.58 is: 79,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,355.70 : 146,767.95 = 57,956.58 : x
  2. Step 2: Convert to fraction form
    106,355.70/146,767.95 = 57,956.58/x
  3. Step 3: Cross multiply
    106,355.70x = 146,767.95 × 57,956.58
  4. Step 4: Simplify right side
    106,355.70x = 8,506,168,435.61
  5. Step 5: Solve for x
    x = 8,506,168,435.61/106,355.70
  6. Step 6: Final answer
    x = 79,978.49

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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.