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Finding the Fourth Proportional to 282,989.13, 424,429.50 and 109,880.85

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Solution

The fourth proportional to 282,989.13, 424,429.50 and 109,880.85 is: 164,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,989.13 : 424,429.50 = 109,880.85 : x
  2. Step 2: Convert to fraction form
    282,989.13/424,429.50 = 109,880.85/x
  3. Step 3: Cross multiply
    282,989.13x = 424,429.50 × 109,880.85
  4. Step 4: Simplify right side
    282,989.13x = 46,636,674,225.08
  5. Step 5: Solve for x
    x = 46,636,674,225.08/282,989.13
  6. Step 6: Final answer
    x = 164,800.23

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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.