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Finding the Fourth Proportional to 253,901.48, 350,384.05 and 140,724.23

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Solution

The fourth proportional to 253,901.48, 350,384.05 and 140,724.23 is: 194,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,901.48 : 350,384.05 = 140,724.23 : x
  2. Step 2: Convert to fraction form
    253,901.48/350,384.05 = 140,724.23/x
  3. Step 3: Cross multiply
    253,901.48x = 350,384.05 × 140,724.23
  4. Step 4: Simplify right side
    253,901.48x = 49,307,526,953.58
  5. Step 5: Solve for x
    x = 49,307,526,953.58/253,901.48
  6. Step 6: Final answer
    x = 194,199.44

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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.