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Finding the Fourth Proportional to 362,291.30, 543,696.15 and 152,080.10

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Solution

The fourth proportional to 362,291.30, 543,696.15 and 152,080.10 is: 228,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,291.30 : 543,696.15 = 152,080.10 : x
  2. Step 2: Convert to fraction form
    362,291.30/543,696.15 = 152,080.10/x
  3. Step 3: Cross multiply
    362,291.30x = 543,696.15 × 152,080.10
  4. Step 4: Simplify right side
    362,291.30x = 82,685,364,861.62
  5. Step 5: Solve for x
    x = 82,685,364,861.62/362,291.30
  6. Step 6: Final answer
    x = 228,228.96

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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.