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Finding the Fourth Proportional to 248,205.71, 371,981.40 and 98,364.24

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Solution

The fourth proportional to 248,205.71, 371,981.40 and 98,364.24 is: 147,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,205.71 : 371,981.40 = 98,364.24 : x
  2. Step 2: Convert to fraction form
    248,205.71/371,981.40 = 98,364.24/x
  3. Step 3: Cross multiply
    248,205.71x = 371,981.40 × 98,364.24
  4. Step 4: Simplify right side
    248,205.71x = 36,589,666,181.95
  5. Step 5: Solve for x
    x = 36,589,666,181.95/248,205.71
  6. Step 6: Final answer
    x = 147,416.70

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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.