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Finding the Fourth Proportional to 212,265.38, 292,914.67 and 116,756.66

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Solution

The fourth proportional to 212,265.38, 292,914.67 and 116,756.66 is: 161,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,265.38 : 292,914.67 = 116,756.66 : x
  2. Step 2: Convert to fraction form
    212,265.38/292,914.67 = 116,756.66/x
  3. Step 3: Cross multiply
    212,265.38x = 292,914.67 × 116,756.66
  4. Step 4: Simplify right side
    212,265.38x = 34,199,738,534.20
  5. Step 5: Solve for x
    x = 34,199,738,534.20/212,265.38
  6. Step 6: Final answer
    x = 161,117.84

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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.