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Finding the Fourth Proportional to 260,316, 359,236.32 and 141,084

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Solution

The fourth proportional to 260,316, 359,236.32 and 141,084 is: 194,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,316 : 359,236.32 = 141,084 : x
  2. Step 2: Convert to fraction form
    260,316/359,236.32 = 141,084/x
  3. Step 3: Cross multiply
    260,316x = 359,236.32 × 141,084
  4. Step 4: Simplify right side
    260,316x = 50,682,496,970.88
  5. Step 5: Solve for x
    x = 50,682,496,970.88/260,316
  6. Step 6: Final answer
    x = 194,696.05

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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.