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Finding the Fourth Proportional to 253,933, 350,427.54 and 140,773

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Solution

The fourth proportional to 253,933, 350,427.54 and 140,773 is: 194,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,933 : 350,427.54 = 140,773 : x
  2. Step 2: Convert to fraction form
    253,933/350,427.54 = 140,773/x
  3. Step 3: Cross multiply
    253,933x = 350,427.54 × 140,773
  4. Step 4: Simplify right side
    253,933x = 49,330,736,088.42
  5. Step 5: Solve for x
    x = 49,330,736,088.42/253,933
  6. Step 6: Final answer
    x = 194,266.74

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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.