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Finding the Fourth Proportional to 188,643.53, 282,965.50 and 48,402.16

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Solution

The fourth proportional to 188,643.53, 282,965.50 and 48,402.16 is: 72,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,643.53 : 282,965.50 = 48,402.16 : x
  2. Step 2: Convert to fraction form
    188,643.53/282,965.50 = 48,402.16/x
  3. Step 3: Cross multiply
    188,643.53x = 282,965.50 × 48,402.16
  4. Step 4: Simplify right side
    188,643.53x = 13,696,140,758.57
  5. Step 5: Solve for x
    x = 13,696,140,758.57/188,643.53
  6. Step 6: Final answer
    x = 72,603.29

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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.