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Finding the Fourth Proportional to 304,152.85, 419,733.67 and 168,196.02

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Solution

The fourth proportional to 304,152.85, 419,733.67 and 168,196.02 is: 232,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,152.85 : 419,733.67 = 168,196.02 : x
  2. Step 2: Convert to fraction form
    304,152.85/419,733.67 = 168,196.02/x
  3. Step 3: Cross multiply
    304,152.85x = 419,733.67 × 168,196.02
  4. Step 4: Simplify right side
    304,152.85x = 70,597,532,728.42
  5. Step 5: Solve for x
    x = 70,597,532,728.42/304,152.85
  6. Step 6: Final answer
    x = 232,112.02

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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.