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Finding the Fourth Proportional to 145,652.16, 201,019.20 and 82,002.36

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Solution

The fourth proportional to 145,652.16, 201,019.20 and 82,002.36 is: 113,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,652.16 : 201,019.20 = 82,002.36 : x
  2. Step 2: Convert to fraction form
    145,652.16/201,019.20 = 82,002.36/x
  3. Step 3: Cross multiply
    145,652.16x = 201,019.20 × 82,002.36
  4. Step 4: Simplify right side
    145,652.16x = 16,484,048,805.31
  5. Step 5: Solve for x
    x = 16,484,048,805.31/145,652.16
  6. Step 6: Final answer
    x = 113,174.08

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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.