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Finding the Fourth Proportional to 109,409.25, 150,984.77 and 59,108.25

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Solution

The fourth proportional to 109,409.25, 150,984.77 and 59,108.25 is: 81,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.25 : 150,984.77 = 59,108.25 : x
  2. Step 2: Convert to fraction form
    109,409.25/150,984.77 = 59,108.25/x
  3. Step 3: Cross multiply
    109,409.25x = 150,984.77 × 59,108.25
  4. Step 4: Simplify right side
    109,409.25x = 8,924,445,235.81
  5. Step 5: Solve for x
    x = 8,924,445,235.81/109,409.25
  6. Step 6: Final answer
    x = 81,569.39

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1.5x scale

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.