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Finding the Fourth Proportional to 253,034.74, 349,188.27 and 145,602.64

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Solution

The fourth proportional to 253,034.74, 349,188.27 and 145,602.64 is: 200,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,034.74 : 349,188.27 = 145,602.64 : x
  2. Step 2: Convert to fraction form
    253,034.74/349,188.27 = 145,602.64/x
  3. Step 3: Cross multiply
    253,034.74x = 349,188.27 × 145,602.64
  4. Step 4: Simplify right side
    253,034.74x = 50,842,733,969.03
  5. Step 5: Solve for x
    x = 50,842,733,969.03/253,034.74
  6. Step 6: Final answer
    x = 200,931.83

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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.