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Finding the Fourth Proportional to 106,297.57, 159,446.56 and 99,802.18

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Solution

The fourth proportional to 106,297.57, 159,446.56 and 99,802.18 is: 149,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,297.57 : 159,446.56 = 99,802.18 : x
  2. Step 2: Convert to fraction form
    106,297.57/159,446.56 = 99,802.18/x
  3. Step 3: Cross multiply
    106,297.57x = 159,446.56 × 99,802.18
  4. Step 4: Simplify right side
    106,297.57x = 15,913,114,281.50
  5. Step 5: Solve for x
    x = 15,913,114,281.50/106,297.57
  6. Step 6: Final answer
    x = 149,703.46

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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.