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Finding the Fourth Proportional to 172,114.86, 257,798.40 and 83,181.84

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Solution

The fourth proportional to 172,114.86, 257,798.40 and 83,181.84 is: 124,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,114.86 : 257,798.40 = 83,181.84 : x
  2. Step 2: Convert to fraction form
    172,114.86/257,798.40 = 83,181.84/x
  3. Step 3: Cross multiply
    172,114.86x = 257,798.40 × 83,181.84
  4. Step 4: Simplify right side
    172,114.86x = 21,444,145,261.06
  5. Step 5: Solve for x
    x = 21,444,145,261.06/172,114.86
  6. Step 6: Final answer
    x = 124,592.06

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1.5x scale

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.