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Finding the Fourth Proportional to 207,624.10, 311,436.15 and 102,648.10

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Solution

The fourth proportional to 207,624.10, 311,436.15 and 102,648.10 is: 153,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,624.10 : 311,436.15 = 102,648.10 : x
  2. Step 2: Convert to fraction form
    207,624.10/311,436.15 = 102,648.10/x
  3. Step 3: Cross multiply
    207,624.10x = 311,436.15 × 102,648.10
  4. Step 4: Simplify right side
    207,624.10x = 31,968,329,068.82
  5. Step 5: Solve for x
    x = 31,968,329,068.82/207,624.10
  6. Step 6: Final answer
    x = 153,972.15

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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.