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Finding the Fourth Proportional to 102,187.20, 153,271.68 and 35,616

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Solution

The fourth proportional to 102,187.20, 153,271.68 and 35,616 is: 53,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,187.20 : 153,271.68 = 35,616 : x
  2. Step 2: Convert to fraction form
    102,187.20/153,271.68 = 35,616/x
  3. Step 3: Cross multiply
    102,187.20x = 153,271.68 × 35,616
  4. Step 4: Simplify right side
    102,187.20x = 5,458,924,154.88
  5. Step 5: Solve for x
    x = 5,458,924,154.88/102,187.20
  6. Step 6: Final answer
    x = 53,420.82

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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.