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Finding the Fourth Proportional to 110,523.30, 165,784.95 and 82,875.30

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Solution

The fourth proportional to 110,523.30, 165,784.95 and 82,875.30 is: 124,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,523.30 : 165,784.95 = 82,875.30 : x
  2. Step 2: Convert to fraction form
    110,523.30/165,784.95 = 82,875.30/x
  3. Step 3: Cross multiply
    110,523.30x = 165,784.95 × 82,875.30
  4. Step 4: Simplify right side
    110,523.30x = 13,739,477,466.74
  5. Step 5: Solve for x
    x = 13,739,477,466.74/110,523.30
  6. Step 6: Final answer
    x = 124,312.95

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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.