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Finding the Fourth Proportional to 222,805, 333,370.50 and 156,374.74

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Solution

The fourth proportional to 222,805, 333,370.50 and 156,374.74 is: 233,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,805 : 333,370.50 = 156,374.74 : x
  2. Step 2: Convert to fraction form
    222,805/333,370.50 = 156,374.74/x
  3. Step 3: Cross multiply
    222,805x = 333,370.50 × 156,374.74
  4. Step 4: Simplify right side
    222,805x = 52,130,725,261.17
  5. Step 5: Solve for x
    x = 52,130,725,261.17/222,805
  6. Step 6: Final answer
    x = 233,974.67

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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.