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Finding the Fourth Proportional to 136,422.72, 204,632.64 and 53,316

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Solution

The fourth proportional to 136,422.72, 204,632.64 and 53,316 is: 79,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,422.72 : 204,632.64 = 53,316 : x
  2. Step 2: Convert to fraction form
    136,422.72/204,632.64 = 53,316/x
  3. Step 3: Cross multiply
    136,422.72x = 204,632.64 × 53,316
  4. Step 4: Simplify right side
    136,422.72x = 10,910,193,834.24
  5. Step 5: Solve for x
    x = 10,910,193,834.24/136,422.72
  6. Step 6: Final answer
    x = 79,973.44

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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.