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Finding the Fourth Proportional to 106,563.60, 146,967.48 and 64,114.20

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Solution

The fourth proportional to 106,563.60, 146,967.48 and 64,114.20 is: 88,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,563.60 : 146,967.48 = 64,114.20 : x
  2. Step 2: Convert to fraction form
    106,563.60/146,967.48 = 64,114.20/x
  3. Step 3: Cross multiply
    106,563.60x = 146,967.48 × 64,114.20
  4. Step 4: Simplify right side
    106,563.60x = 9,422,702,406.22
  5. Step 5: Solve for x
    x = 9,422,702,406.22/106,563.60
  6. Step 6: Final answer
    x = 88,423.27

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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.