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Finding the Fourth Proportional to 117,253, 161,809.14 and 66,952

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Solution

The fourth proportional to 117,253, 161,809.14 and 66,952 is: 92,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,253 : 161,809.14 = 66,952 : x
  2. Step 2: Convert to fraction form
    117,253/161,809.14 = 66,952/x
  3. Step 3: Cross multiply
    117,253x = 161,809.14 × 66,952
  4. Step 4: Simplify right side
    117,253x = 10,833,445,541.28
  5. Step 5: Solve for x
    x = 10,833,445,541.28/117,253
  6. Step 6: Final answer
    x = 92,393.76

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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.