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Finding the Fourth Proportional to 106,308.20, 159,412.28 and 39,730.65

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Solution

The fourth proportional to 106,308.20, 159,412.28 and 39,730.65 is: 59,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308.20 : 159,412.28 = 39,730.65 : x
  2. Step 2: Convert to fraction form
    106,308.20/159,412.28 = 39,730.65/x
  3. Step 3: Cross multiply
    106,308.20x = 159,412.28 × 39,730.65
  4. Step 4: Simplify right side
    106,308.20x = 6,333,553,303.73
  5. Step 5: Solve for x
    x = 6,333,553,303.73/106,308.20
  6. Step 6: Final answer
    x = 59,577.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.