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Finding the Fourth Proportional to 106,509.12, 159,490.35 and 103,355.70

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Solution

The fourth proportional to 106,509.12, 159,490.35 and 103,355.70 is: 154,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.12 : 159,490.35 = 103,355.70 : x
  2. Step 2: Convert to fraction form
    106,509.12/159,490.35 = 103,355.70/x
  3. Step 3: Cross multiply
    106,509.12x = 159,490.35 × 103,355.70
  4. Step 4: Simplify right side
    106,509.12x = 16,484,236,767.50
  5. Step 5: Solve for x
    x = 16,484,236,767.50/106,509.12
  6. Step 6: Final answer
    x = 154,768.31

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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.