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Finding the Fourth Proportional to 153,693.30, 212,092.53 and 85,712.34

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Solution

The fourth proportional to 153,693.30, 212,092.53 and 85,712.34 is: 118,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,693.30 : 212,092.53 = 85,712.34 : x
  2. Step 2: Convert to fraction form
    153,693.30/212,092.53 = 85,712.34/x
  3. Step 3: Cross multiply
    153,693.30x = 212,092.53 × 85,712.34
  4. Step 4: Simplify right side
    153,693.30x = 18,178,947,042.82
  5. Step 5: Solve for x
    x = 18,178,947,042.82/153,693.30
  6. Step 6: Final answer
    x = 118,280.67

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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.