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Finding the Fourth Proportional to 145,677.07, 201,038.13 and 82,017.16

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Solution

The fourth proportional to 145,677.07, 201,038.13 and 82,017.16 is: 113,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,677.07 : 201,038.13 = 82,017.16 : x
  2. Step 2: Convert to fraction form
    145,677.07/201,038.13 = 82,017.16/x
  3. Step 3: Cross multiply
    145,677.07x = 201,038.13 × 82,017.16
  4. Step 4: Simplify right side
    145,677.07x = 16,488,576,474.31
  5. Step 5: Solve for x
    x = 16,488,576,474.31/145,677.07
  6. Step 6: Final answer
    x = 113,185.81

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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.