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Finding the Fourth Proportional to 220,096.63, 330,048.80 and 77,894.64

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Solution

The fourth proportional to 220,096.63, 330,048.80 and 77,894.64 is: 116,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,096.63 : 330,048.80 = 77,894.64 : x
  2. Step 2: Convert to fraction form
    220,096.63/330,048.80 = 77,894.64/x
  3. Step 3: Cross multiply
    220,096.63x = 330,048.80 × 77,894.64
  4. Step 4: Simplify right side
    220,096.63x = 25,709,032,458.43
  5. Step 5: Solve for x
    x = 25,709,032,458.43/220,096.63
  6. Step 6: Final answer
    x = 116,807.93

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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.