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Finding the Fourth Proportional to 92,223.42, 138,236.58 and 65,848.20

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Solution

The fourth proportional to 92,223.42, 138,236.58 and 65,848.20 is: 98,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,223.42 : 138,236.58 = 65,848.20 : x
  2. Step 2: Convert to fraction form
    92,223.42/138,236.58 = 65,848.20/x
  3. Step 3: Cross multiply
    92,223.42x = 138,236.58 × 65,848.20
  4. Step 4: Simplify right side
    92,223.42x = 9,102,629,967.16
  5. Step 5: Solve for x
    x = 9,102,629,967.16/92,223.42
  6. Step 6: Final answer
    x = 98,701.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.