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Finding the Fourth Proportional to 106,522.37, 146,980.37 and 64,083.63

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Solution

The fourth proportional to 106,522.37, 146,980.37 and 64,083.63 is: 88,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,522.37 : 146,980.37 = 64,083.63 : x
  2. Step 2: Convert to fraction form
    106,522.37/146,980.37 = 64,083.63/x
  3. Step 3: Cross multiply
    106,522.37x = 146,980.37 × 64,083.63
  4. Step 4: Simplify right side
    106,522.37x = 9,419,035,327.92
  5. Step 5: Solve for x
    x = 9,419,035,327.92/106,522.37
  6. Step 6: Final answer
    x = 88,423.08

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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.