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Finding the Fourth Proportional to 305,152.42, 457,796.04 and 102,758.46

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Solution

The fourth proportional to 305,152.42, 457,796.04 and 102,758.46 is: 154,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,152.42 : 457,796.04 = 102,758.46 : x
  2. Step 2: Convert to fraction form
    305,152.42/457,796.04 = 102,758.46/x
  3. Step 3: Cross multiply
    305,152.42x = 457,796.04 × 102,758.46
  4. Step 4: Simplify right side
    305,152.42x = 47,042,416,064.50
  5. Step 5: Solve for x
    x = 47,042,416,064.50/305,152.42
  6. Step 6: Final answer
    x = 154,160.39

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