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Finding the Fourth Proportional to 207,858.10, 311,008.65 and 148,024.90

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Solution

The fourth proportional to 207,858.10, 311,008.65 and 148,024.90 is: 221,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,858.10 : 311,008.65 = 148,024.90 : x
  2. Step 2: Convert to fraction form
    207,858.10/311,008.65 = 148,024.90/x
  3. Step 3: Cross multiply
    207,858.10x = 311,008.65 × 148,024.90
  4. Step 4: Simplify right side
    207,858.10x = 46,037,024,315.39
  5. Step 5: Solve for x
    x = 46,037,024,315.39/207,858.10
  6. Step 6: Final answer
    x = 221,482.95

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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.