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Finding the Fourth Proportional to 252,114.96, 347,808.42 and 180,468.84

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Solution

The fourth proportional to 252,114.96, 347,808.42 and 180,468.84 is: 248,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,114.96 : 347,808.42 = 180,468.84 : x
  2. Step 2: Convert to fraction form
    252,114.96/347,808.42 = 180,468.84/x
  3. Step 3: Cross multiply
    252,114.96x = 347,808.42 × 180,468.84
  4. Step 4: Simplify right side
    252,114.96x = 62,768,582,099.63
  5. Step 5: Solve for x
    x = 62,768,582,099.63/252,114.96
  6. Step 6: Final answer
    x = 248,968.10

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1.5x scale

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.