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Finding the Fourth Proportional to 152,159.58, 227,933.46 and 70,991.91

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Solution

The fourth proportional to 152,159.58, 227,933.46 and 70,991.91 is: 106,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,159.58 : 227,933.46 = 70,991.91 : x
  2. Step 2: Convert to fraction form
    152,159.58/227,933.46 = 70,991.91/x
  3. Step 3: Cross multiply
    152,159.58x = 227,933.46 × 70,991.91
  4. Step 4: Simplify right side
    152,159.58x = 16,181,431,678.31
  5. Step 5: Solve for x
    x = 16,181,431,678.31/152,159.58
  6. Step 6: Final answer
    x = 106,345.14

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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.