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Finding the Fourth Proportional to 153,791.34, 212,226.12 and 85,804.80

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Solution

The fourth proportional to 153,791.34, 212,226.12 and 85,804.80 is: 118,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,791.34 : 212,226.12 = 85,804.80 : x
  2. Step 2: Convert to fraction form
    153,791.34/212,226.12 = 85,804.80/x
  3. Step 3: Cross multiply
    153,791.34x = 212,226.12 × 85,804.80
  4. Step 4: Simplify right side
    153,791.34x = 18,210,019,781.38
  5. Step 5: Solve for x
    x = 18,210,019,781.38/153,791.34
  6. Step 6: Final answer
    x = 118,407.32

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Why These Related Problems?

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