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Finding the Fourth Proportional to 175,038.60, 262,557.90 and 165,822.60

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Solution

The fourth proportional to 175,038.60, 262,557.90 and 165,822.60 is: 248,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,038.60 : 262,557.90 = 165,822.60 : x
  2. Step 2: Convert to fraction form
    175,038.60/262,557.90 = 165,822.60/x
  3. Step 3: Cross multiply
    175,038.60x = 262,557.90 × 165,822.60
  4. Step 4: Simplify right side
    175,038.60x = 43,538,033,628.54
  5. Step 5: Solve for x
    x = 43,538,033,628.54/175,038.60
  6. Step 6: Final answer
    x = 248,733.90

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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.