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Finding the Fourth Proportional to 227,312.80, 340,969.20 and 100,923.36

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Solution

The fourth proportional to 227,312.80, 340,969.20 and 100,923.36 is: 151,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,312.80 : 340,969.20 = 100,923.36 : x
  2. Step 2: Convert to fraction form
    227,312.80/340,969.20 = 100,923.36/x
  3. Step 3: Cross multiply
    227,312.80x = 340,969.20 × 100,923.36
  4. Step 4: Simplify right side
    227,312.80x = 34,411,757,320.51
  5. Step 5: Solve for x
    x = 34,411,757,320.51/227,312.80
  6. Step 6: Final answer
    x = 151,385.04

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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.