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Finding the Fourth Proportional to 145,675.95, 201,036.57 and 82,016.02

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Solution

The fourth proportional to 145,675.95, 201,036.57 and 82,016.02 is: 113,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,675.95 : 201,036.57 = 82,016.02 : x
  2. Step 2: Convert to fraction form
    145,675.95/201,036.57 = 82,016.02/x
  3. Step 3: Cross multiply
    145,675.95x = 201,036.57 × 82,016.02
  4. Step 4: Simplify right side
    145,675.95x = 16,488,219,345.85
  5. Step 5: Solve for x
    x = 16,488,219,345.85/145,675.95
  6. Step 6: Final answer
    x = 113,184.22

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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.