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Finding the Fourth Proportional to 252,575.60, 348,614.16 and 145,208.01

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Solution

The fourth proportional to 252,575.60, 348,614.16 and 145,208.01 is: 200,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,575.60 : 348,614.16 = 145,208.01 : x
  2. Step 2: Convert to fraction form
    252,575.60/348,614.16 = 145,208.01/x
  3. Step 3: Cross multiply
    252,575.60x = 348,614.16 × 145,208.01
  4. Step 4: Simplify right side
    252,575.60x = 50,621,568,431.42
  5. Step 5: Solve for x
    x = 50,621,568,431.42/252,575.60
  6. Step 6: Final answer
    x = 200,421.45

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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.