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Finding the Fourth Proportional to 254,146.68, 380,711.70 and 152,888.94

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Solution

The fourth proportional to 254,146.68, 380,711.70 and 152,888.94 is: 229,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,146.68 : 380,711.70 = 152,888.94 : x
  2. Step 2: Convert to fraction form
    254,146.68/380,711.70 = 152,888.94/x
  3. Step 3: Cross multiply
    254,146.68x = 380,711.70 × 152,888.94
  4. Step 4: Simplify right side
    254,146.68x = 58,206,608,258.60
  5. Step 5: Solve for x
    x = 58,206,608,258.60/254,146.68
  6. Step 6: Final answer
    x = 229,027.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.