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Finding the Fourth Proportional to 116,343.65, 174,524.32 and 45,235.74

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Solution

The fourth proportional to 116,343.65, 174,524.32 and 45,235.74 is: 67,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,343.65 : 174,524.32 = 45,235.74 : x
  2. Step 2: Convert to fraction form
    116,343.65/174,524.32 = 45,235.74/x
  3. Step 3: Cross multiply
    116,343.65x = 174,524.32 × 45,235.74
  4. Step 4: Simplify right side
    116,343.65x = 7,894,736,983.36
  5. Step 5: Solve for x
    x = 7,894,736,983.36/116,343.65
  6. Step 6: Final answer
    x = 67,857.05

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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.