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Finding the Fourth Proportional to 286,187.40, 429,285.06 and 86,509.44

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Solution

The fourth proportional to 286,187.40, 429,285.06 and 86,509.44 is: 129,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,187.40 : 429,285.06 = 86,509.44 : x
  2. Step 2: Convert to fraction form
    286,187.40/429,285.06 = 86,509.44/x
  3. Step 3: Cross multiply
    286,187.40x = 429,285.06 × 86,509.44
  4. Step 4: Simplify right side
    286,187.40x = 37,137,210,140.97
  5. Step 5: Solve for x
    x = 37,137,210,140.97/286,187.40
  6. Step 6: Final answer
    x = 129,765.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.