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Finding the Fourth Proportional to 147,643, 203,747.52 and 80,575

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Solution

The fourth proportional to 147,643, 203,747.52 and 80,575 is: 111,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,643 : 203,747.52 = 80,575 : x
  2. Step 2: Convert to fraction form
    147,643/203,747.52 = 80,575/x
  3. Step 3: Cross multiply
    147,643x = 203,747.52 × 80,575
  4. Step 4: Simplify right side
    147,643x = 16,416,956,424
  5. Step 5: Solve for x
    x = 16,416,956,424/147,643
  6. Step 6: Final answer
    x = 111,193.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.