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Finding the Fourth Proportional to 110,030.30, 164,833.22 and 65,692.52

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Solution

The fourth proportional to 110,030.30, 164,833.22 and 65,692.52 is: 98,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,030.30 : 164,833.22 = 65,692.52 : x
  2. Step 2: Convert to fraction form
    110,030.30/164,833.22 = 65,692.52/x
  3. Step 3: Cross multiply
    110,030.30x = 164,833.22 × 65,692.52
  4. Step 4: Simplify right side
    110,030.30x = 10,828,309,601.51
  5. Step 5: Solve for x
    x = 10,828,309,601.51/110,030.30
  6. Step 6: Final answer
    x = 98,412.07

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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.