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Finding the Fourth Proportional to 122,428.80, 183,669.12 and 39,312

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Solution

The fourth proportional to 122,428.80, 183,669.12 and 39,312 is: 58,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,428.80 : 183,669.12 = 39,312 : x
  2. Step 2: Convert to fraction form
    122,428.80/183,669.12 = 39,312/x
  3. Step 3: Cross multiply
    122,428.80x = 183,669.12 × 39,312
  4. Step 4: Simplify right side
    122,428.80x = 7,220,400,445.44
  5. Step 5: Solve for x
    x = 7,220,400,445.44/122,428.80
  6. Step 6: Final answer
    x = 58,976.32

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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.