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Finding the Fourth Proportional to 106,577.60, 159,076 and 92,282.24

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Solution

The fourth proportional to 106,577.60, 159,076 and 92,282.24 is: 137,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,577.60 : 159,076 = 92,282.24 : x
  2. Step 2: Convert to fraction form
    106,577.60/159,076 = 92,282.24/x
  3. Step 3: Cross multiply
    106,577.60x = 159,076 × 92,282.24
  4. Step 4: Simplify right side
    106,577.60x = 14,679,889,610.24
  5. Step 5: Solve for x
    x = 14,679,889,610.24/106,577.60
  6. Step 6: Final answer
    x = 137,738.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.