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Finding the Fourth Proportional to 109,871.30, 164,812.35 and 57,383.30

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Solution

The fourth proportional to 109,871.30, 164,812.35 and 57,383.30 is: 86,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.30 : 164,812.35 = 57,383.30 : x
  2. Step 2: Convert to fraction form
    109,871.30/164,812.35 = 57,383.30/x
  3. Step 3: Cross multiply
    109,871.30x = 164,812.35 × 57,383.30
  4. Step 4: Simplify right side
    109,871.30x = 9,457,476,523.76
  5. Step 5: Solve for x
    x = 9,457,476,523.76/109,871.30
  6. Step 6: Final answer
    x = 86,077.77

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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.