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Finding the Fourth Proportional to 145,674.58, 201,034.66 and 82,014.64

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Solution

The fourth proportional to 145,674.58, 201,034.66 and 82,014.64 is: 113,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,674.58 : 201,034.66 = 82,014.64 : x
  2. Step 2: Convert to fraction form
    145,674.58/201,034.66 = 82,014.64/x
  3. Step 3: Cross multiply
    145,674.58x = 201,034.66 × 82,014.64
  4. Step 4: Simplify right side
    145,674.58x = 16,487,785,267.42
  5. Step 5: Solve for x
    x = 16,487,785,267.42/145,674.58
  6. Step 6: Final answer
    x = 113,182.31

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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.