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Finding the Fourth Proportional to 253,776, 350,222.36 and 140,598.75

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Solution

The fourth proportional to 253,776, 350,222.36 and 140,598.75 is: 194,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,776 : 350,222.36 = 140,598.75 : x
  2. Step 2: Convert to fraction form
    253,776/350,222.36 = 140,598.75/x
  3. Step 3: Cross multiply
    253,776x = 350,222.36 × 140,598.75
  4. Step 4: Simplify right side
    253,776x = 49,240,826,038.05
  5. Step 5: Solve for x
    x = 49,240,826,038.05/253,776
  6. Step 6: Final answer
    x = 194,032.64

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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.