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Finding the Fourth Proportional to 316,844.64, 475,266.93 and 106,482.57

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Solution

The fourth proportional to 316,844.64, 475,266.93 and 106,482.57 is: 159,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,844.64 : 475,266.93 = 106,482.57 : x
  2. Step 2: Convert to fraction form
    316,844.64/475,266.93 = 106,482.57/x
  3. Step 3: Cross multiply
    316,844.64x = 475,266.93 × 106,482.57
  4. Step 4: Simplify right side
    316,844.64x = 50,607,644,142.41
  5. Step 5: Solve for x
    x = 50,607,644,142.41/316,844.64
  6. Step 6: Final answer
    x = 159,723.84

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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.