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Finding the Fourth Proportional to 253,931.60, 380,923.32 and 87,698

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Solution

The fourth proportional to 253,931.60, 380,923.32 and 87,698 is: 131,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,931.60 : 380,923.32 = 87,698 : x
  2. Step 2: Convert to fraction form
    253,931.60/380,923.32 = 87,698/x
  3. Step 3: Cross multiply
    253,931.60x = 380,923.32 × 87,698
  4. Step 4: Simplify right side
    253,931.60x = 33,406,213,317.36
  5. Step 5: Solve for x
    x = 33,406,213,317.36/253,931.60
  6. Step 6: Final answer
    x = 131,555.95

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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.