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Finding the Fourth Proportional to 282,385.56, 423,583.80 and 111,602.72

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Solution

The fourth proportional to 282,385.56, 423,583.80 and 111,602.72 is: 167,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,385.56 : 423,583.80 = 111,602.72 : x
  2. Step 2: Convert to fraction form
    282,385.56/423,583.80 = 111,602.72/x
  3. Step 3: Cross multiply
    282,385.56x = 423,583.80 × 111,602.72
  4. Step 4: Simplify right side
    282,385.56x = 47,273,104,227.94
  5. Step 5: Solve for x
    x = 47,273,104,227.94/282,385.56
  6. Step 6: Final answer
    x = 167,406.24

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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.