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Finding the Fourth Proportional to 152,767.45, 228,844.45 and 77,884.57

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Solution

The fourth proportional to 152,767.45, 228,844.45 and 77,884.57 is: 116,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,767.45 : 228,844.45 = 77,884.57 : x
  2. Step 2: Convert to fraction form
    152,767.45/228,844.45 = 77,884.57/x
  3. Step 3: Cross multiply
    152,767.45x = 228,844.45 × 77,884.57
  4. Step 4: Simplify right side
    152,767.45x = 17,823,451,585.14
  5. Step 5: Solve for x
    x = 17,823,451,585.14/152,767.45
  6. Step 6: Final answer
    x = 116,670.48

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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.