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Finding the Fourth Proportional to 161,880.80, 242,821.20 and 105,893.60

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Solution

The fourth proportional to 161,880.80, 242,821.20 and 105,893.60 is: 158,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,880.80 : 242,821.20 = 105,893.60 : x
  2. Step 2: Convert to fraction form
    161,880.80/242,821.20 = 105,893.60/x
  3. Step 3: Cross multiply
    161,880.80x = 242,821.20 × 105,893.60
  4. Step 4: Simplify right side
    161,880.80x = 25,713,211,024.32
  5. Step 5: Solve for x
    x = 25,713,211,024.32/161,880.80
  6. Step 6: Final answer
    x = 158,840.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.