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Finding the Fourth Proportional to 153,884.00, 212,448.22 and 117,298.23

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Solution

The fourth proportional to 153,884.00, 212,448.22 and 117,298.23 is: 161,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,884.00 : 212,448.22 = 117,298.23 : x
  2. Step 2: Convert to fraction form
    153,884.00/212,448.22 = 117,298.23/x
  3. Step 3: Cross multiply
    153,884.00x = 212,448.22 × 117,298.23
  4. Step 4: Simplify right side
    153,884.00x = 24,919,799,082.72
  5. Step 5: Solve for x
    x = 24,919,799,082.72/153,884.00
  6. Step 6: Final answer
    x = 161,938.85

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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.