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Finding the Fourth Proportional to 109,507.80, 164,261.70 and 42,950.10

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Solution

The fourth proportional to 109,507.80, 164,261.70 and 42,950.10 is: 64,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,507.80 : 164,261.70 = 42,950.10 : x
  2. Step 2: Convert to fraction form
    109,507.80/164,261.70 = 42,950.10/x
  3. Step 3: Cross multiply
    109,507.80x = 164,261.70 × 42,950.10
  4. Step 4: Simplify right side
    109,507.80x = 7,055,056,441.17
  5. Step 5: Solve for x
    x = 7,055,056,441.17/109,507.80
  6. Step 6: Final answer
    x = 64,425.15

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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.