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Finding the Fourth Proportional to 109,599.75, 164,485.76 and 56,289.60

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Solution

The fourth proportional to 109,599.75, 164,485.76 and 56,289.60 is: 84,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,599.75 : 164,485.76 = 56,289.60 : x
  2. Step 2: Convert to fraction form
    109,599.75/164,485.76 = 56,289.60/x
  3. Step 3: Cross multiply
    109,599.75x = 164,485.76 × 56,289.60
  4. Step 4: Simplify right side
    109,599.75x = 9,258,837,354.65
  5. Step 5: Solve for x
    x = 9,258,837,354.65/109,599.75
  6. Step 6: Final answer
    x = 84,478.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.