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Finding the Fourth Proportional to 145,674.95, 201,035.19 and 82,015.02

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Solution

The fourth proportional to 145,674.95, 201,035.19 and 82,015.02 is: 113,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,674.95 : 201,035.19 = 82,015.02 : x
  2. Step 2: Convert to fraction form
    145,674.95/201,035.19 = 82,015.02/x
  3. Step 3: Cross multiply
    145,674.95x = 201,035.19 × 82,015.02
  4. Step 4: Simplify right side
    145,674.95x = 16,487,905,128.55
  5. Step 5: Solve for x
    x = 16,487,905,128.55/145,674.95
  6. Step 6: Final answer
    x = 113,182.85

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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.