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Finding the Fourth Proportional to 145,967.71, 201,441.24 and 82,304.14

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Solution

The fourth proportional to 145,967.71, 201,441.24 and 82,304.14 is: 113,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,967.71 : 201,441.24 = 82,304.14 : x
  2. Step 2: Convert to fraction form
    145,967.71/201,441.24 = 82,304.14/x
  3. Step 3: Cross multiply
    145,967.71x = 201,441.24 × 82,304.14
  4. Step 4: Simplify right side
    145,967.71x = 16,579,448,018.73
  5. Step 5: Solve for x
    x = 16,579,448,018.73/145,967.71
  6. Step 6: Final answer
    x = 113,582.98

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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.