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Finding the Fourth Proportional to 122,400.32, 183,619.68 and 52,280

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Solution

The fourth proportional to 122,400.32, 183,619.68 and 52,280 is: 78,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,400.32 : 183,619.68 = 52,280 : x
  2. Step 2: Convert to fraction form
    122,400.32/183,619.68 = 52,280/x
  3. Step 3: Cross multiply
    122,400.32x = 183,619.68 × 52,280
  4. Step 4: Simplify right side
    122,400.32x = 9,599,636,870.40
  5. Step 5: Solve for x
    x = 9,599,636,870.40/122,400.32
  6. Step 6: Final answer
    x = 78,428.20

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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.