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Finding the Fourth Proportional to 254,309.92, 350,911.80 and 152,311.48

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Solution

The fourth proportional to 254,309.92, 350,911.80 and 152,311.48 is: 210,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,309.92 : 350,911.80 = 152,311.48 : x
  2. Step 2: Convert to fraction form
    254,309.92/350,911.80 = 152,311.48/x
  3. Step 3: Cross multiply
    254,309.92x = 350,911.80 × 152,311.48
  4. Step 4: Simplify right side
    254,309.92x = 53,447,895,607.46
  5. Step 5: Solve for x
    x = 53,447,895,607.46/254,309.92
  6. Step 6: Final answer
    x = 210,168.35

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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.