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Finding the Fourth Proportional to 172,114.60, 257,798.03 and 83,181.60

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Solution

The fourth proportional to 172,114.60, 257,798.03 and 83,181.60 is: 124,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,114.60 : 257,798.03 = 83,181.60 : x
  2. Step 2: Convert to fraction form
    172,114.60/257,798.03 = 83,181.60/x
  3. Step 3: Cross multiply
    172,114.60x = 257,798.03 × 83,181.60
  4. Step 4: Simplify right side
    172,114.60x = 21,444,051,323.26
  5. Step 5: Solve for x
    x = 21,444,051,323.26/172,114.60
  6. Step 6: Final answer
    x = 124,591.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.