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Finding the Fourth Proportional to 149,226.71, 223,699.35 and 74,276

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Solution

The fourth proportional to 149,226.71, 223,699.35 and 74,276 is: 111,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,226.71 : 223,699.35 = 74,276 : x
  2. Step 2: Convert to fraction form
    149,226.71/223,699.35 = 74,276/x
  3. Step 3: Cross multiply
    149,226.71x = 223,699.35 × 74,276
  4. Step 4: Simplify right side
    149,226.71x = 16,615,492,920.60
  5. Step 5: Solve for x
    x = 16,615,492,920.60/149,226.71
  6. Step 6: Final answer
    x = 111,343.96

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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.