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Finding the Fourth Proportional to 145,902.60, 201,347.10 and 82,240.38

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Solution

The fourth proportional to 145,902.60, 201,347.10 and 82,240.38 is: 113,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,902.60 : 201,347.10 = 82,240.38 : x
  2. Step 2: Convert to fraction form
    145,902.60/201,347.10 = 82,240.38/x
  3. Step 3: Cross multiply
    145,902.60x = 201,347.10 × 82,240.38
  4. Step 4: Simplify right side
    145,902.60x = 16,558,862,015.90
  5. Step 5: Solve for x
    x = 16,558,862,015.90/145,902.60
  6. Step 6: Final answer
    x = 113,492.58

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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.