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Finding the Fourth Proportional to 106,507.31, 146,980.58 and 58,760.64

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Solution

The fourth proportional to 106,507.31, 146,980.58 and 58,760.64 is: 81,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.31 : 146,980.58 = 58,760.64 : x
  2. Step 2: Convert to fraction form
    106,507.31/146,980.58 = 58,760.64/x
  3. Step 3: Cross multiply
    106,507.31x = 146,980.58 × 58,760.64
  4. Step 4: Simplify right side
    106,507.31x = 8,636,672,948.37
  5. Step 5: Solve for x
    x = 8,636,672,948.37/106,507.31
  6. Step 6: Final answer
    x = 81,089.95

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1.5x scale

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.