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Finding the Fourth Proportional to 105,763.20, 158,603.64 and 53,136

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Solution

The fourth proportional to 105,763.20, 158,603.64 and 53,136 is: 79,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,763.20 : 158,603.64 = 53,136 : x
  2. Step 2: Convert to fraction form
    105,763.20/158,603.64 = 53,136/x
  3. Step 3: Cross multiply
    105,763.20x = 158,603.64 × 53,136
  4. Step 4: Simplify right side
    105,763.20x = 8,427,563,015.04
  5. Step 5: Solve for x
    x = 8,427,563,015.04/105,763.20
  6. Step 6: Final answer
    x = 79,683.32

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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.