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Finding the Fourth Proportional to 147,967.10, 221,841.30 and 81,482.30

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Solution

The fourth proportional to 147,967.10, 221,841.30 and 81,482.30 is: 122,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,967.10 : 221,841.30 = 81,482.30 : x
  2. Step 2: Convert to fraction form
    147,967.10/221,841.30 = 81,482.30/x
  3. Step 3: Cross multiply
    147,967.10x = 221,841.30 × 81,482.30
  4. Step 4: Simplify right side
    147,967.10x = 18,076,139,358.99
  5. Step 5: Solve for x
    x = 18,076,139,358.99/147,967.10
  6. Step 6: Final answer
    x = 122,163.23

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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.