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Finding the Fourth Proportional to 282,434.58, 423,651.60 and 72,072.52

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Solution

The fourth proportional to 282,434.58, 423,651.60 and 72,072.52 is: 108,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,434.58 : 423,651.60 = 72,072.52 : x
  2. Step 2: Convert to fraction form
    282,434.58/423,651.60 = 72,072.52/x
  3. Step 3: Cross multiply
    282,434.58x = 423,651.60 × 72,072.52
  4. Step 4: Simplify right side
    282,434.58x = 30,533,637,354.90
  5. Step 5: Solve for x
    x = 30,533,637,354.90/282,434.58
  6. Step 6: Final answer
    x = 108,108.71

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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.