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Finding the Fourth Proportional to 153,422.98, 211,717.81 and 85,442.83

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Solution

The fourth proportional to 153,422.98, 211,717.81 and 85,442.83 is: 117,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,422.98 : 211,717.81 = 85,442.83 : x
  2. Step 2: Convert to fraction form
    153,422.98/211,717.81 = 85,442.83/x
  3. Step 3: Cross multiply
    153,422.98x = 211,717.81 × 85,442.83
  4. Step 4: Simplify right side
    153,422.98x = 18,089,767,362.00
  5. Step 5: Solve for x
    x = 18,089,767,362.00/153,422.98
  6. Step 6: Final answer
    x = 117,907.81

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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.