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Finding the Fourth Proportional to 316,864.60, 475,368.90 and 106,523.80

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Solution

The fourth proportional to 316,864.60, 475,368.90 and 106,523.80 is: 159,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,864.60 : 475,368.90 = 106,523.80 : x
  2. Step 2: Convert to fraction form
    316,864.60/475,368.90 = 106,523.80/x
  3. Step 3: Cross multiply
    316,864.60x = 475,368.90 × 106,523.80
  4. Step 4: Simplify right side
    316,864.60x = 50,638,101,629.82
  5. Step 5: Solve for x
    x = 50,638,101,629.82/316,864.60
  6. Step 6: Final answer
    x = 159,809.91

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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.