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Finding the Fourth Proportional to 316,115.76, 474,075 and 105,704.58

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Solution

The fourth proportional to 316,115.76, 474,075 and 105,704.58 is: 158,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,115.76 : 474,075 = 105,704.58 : x
  2. Step 2: Convert to fraction form
    316,115.76/474,075 = 105,704.58/x
  3. Step 3: Cross multiply
    316,115.76x = 474,075 × 105,704.58
  4. Step 4: Simplify right side
    316,115.76x = 50,111,898,763.50
  5. Step 5: Solve for x
    x = 50,111,898,763.50/316,115.76
  6. Step 6: Final answer
    x = 158,523.89

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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.