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Finding the Fourth Proportional to 202,429.60, 303,643.68 and 77,683.20

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Solution

The fourth proportional to 202,429.60, 303,643.68 and 77,683.20 is: 116,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,429.60 : 303,643.68 = 77,683.20 : x
  2. Step 2: Convert to fraction form
    202,429.60/303,643.68 = 77,683.20/x
  3. Step 3: Cross multiply
    202,429.60x = 303,643.68 × 77,683.20
  4. Step 4: Simplify right side
    202,429.60x = 23,588,012,722.18
  5. Step 5: Solve for x
    x = 23,588,012,722.18/202,429.60
  6. Step 6: Final answer
    x = 116,524.52

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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.