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Finding the Fourth Proportional to 109,594.32, 151,241.40 and 61,848.24

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Solution

The fourth proportional to 109,594.32, 151,241.40 and 61,848.24 is: 85,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,594.32 : 151,241.40 = 61,848.24 : x
  2. Step 2: Convert to fraction form
    109,594.32/151,241.40 = 61,848.24/x
  3. Step 3: Cross multiply
    109,594.32x = 151,241.40 × 61,848.24
  4. Step 4: Simplify right side
    109,594.32x = 9,354,014,405.14
  5. Step 5: Solve for x
    x = 9,354,014,405.14/109,594.32
  6. Step 6: Final answer
    x = 85,351.27

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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.