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Finding the Fourth Proportional to 145,804.83, 201,205.73 and 89,216.21

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Solution

The fourth proportional to 145,804.83, 201,205.73 and 89,216.21 is: 123,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,804.83 : 201,205.73 = 89,216.21 : x
  2. Step 2: Convert to fraction form
    145,804.83/201,205.73 = 89,216.21/x
  3. Step 3: Cross multiply
    145,804.83x = 201,205.73 × 89,216.21
  4. Step 4: Simplify right side
    145,804.83x = 17,950,811,877.90
  5. Step 5: Solve for x
    x = 17,950,811,877.90/145,804.83
  6. Step 6: Final answer
    x = 123,115.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.