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Finding the Fourth Proportional to 220,688, 304,549.44 and 120,086.72

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Solution

The fourth proportional to 220,688, 304,549.44 and 120,086.72 is: 165,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,688 : 304,549.44 = 120,086.72 : x
  2. Step 2: Convert to fraction form
    220,688/304,549.44 = 120,086.72/x
  3. Step 3: Cross multiply
    220,688x = 304,549.44 × 120,086.72
  4. Step 4: Simplify right side
    220,688x = 36,572,343,327.44
  5. Step 5: Solve for x
    x = 36,572,343,327.44/220,688
  6. Step 6: Final answer
    x = 165,719.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.