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Finding the Fourth Proportional to 212,161.16, 292,784.48 and 116,668.50

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Solution

The fourth proportional to 212,161.16, 292,784.48 and 116,668.50 is: 161,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,161.16 : 292,784.48 = 116,668.50 : x
  2. Step 2: Convert to fraction form
    212,161.16/292,784.48 = 116,668.50/x
  3. Step 3: Cross multiply
    212,161.16x = 292,784.48 × 116,668.50
  4. Step 4: Simplify right side
    212,161.16x = 34,158,725,521.54
  5. Step 5: Solve for x
    x = 34,158,725,521.54/212,161.16
  6. Step 6: Final answer
    x = 161,003.67

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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.