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Finding the Fourth Proportional to 207,482.46, 311,112.32 and 65,301.14

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Solution

The fourth proportional to 207,482.46, 311,112.32 and 65,301.14 is: 97,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,482.46 : 311,112.32 = 65,301.14 : x
  2. Step 2: Convert to fraction form
    207,482.46/311,112.32 = 65,301.14/x
  3. Step 3: Cross multiply
    207,482.46x = 311,112.32 × 65,301.14
  4. Step 4: Simplify right side
    207,482.46x = 20,315,987,281.98
  5. Step 5: Solve for x
    x = 20,315,987,281.98/207,482.46
  6. Step 6: Final answer
    x = 97,916.65

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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.