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Finding the Fourth Proportional to 203,152.32, 304,728.48 and 97,951.68

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Solution

The fourth proportional to 203,152.32, 304,728.48 and 97,951.68 is: 146,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,152.32 : 304,728.48 = 97,951.68 : x
  2. Step 2: Convert to fraction form
    203,152.32/304,728.48 = 97,951.68/x
  3. Step 3: Cross multiply
    203,152.32x = 304,728.48 × 97,951.68
  4. Step 4: Simplify right side
    203,152.32x = 29,848,666,559.85
  5. Step 5: Solve for x
    x = 29,848,666,559.85/203,152.32
  6. Step 6: Final answer
    x = 146,927.52

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1.5x scale

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.