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Finding the Fourth Proportional to 311,851.59, 467,835.08 and 98,673.16

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Solution

The fourth proportional to 311,851.59, 467,835.08 and 98,673.16 is: 148,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,851.59 : 467,835.08 = 98,673.16 : x
  2. Step 2: Convert to fraction form
    311,851.59/467,835.08 = 98,673.16/x
  3. Step 3: Cross multiply
    311,851.59x = 467,835.08 × 98,673.16
  4. Step 4: Simplify right side
    311,851.59x = 46,162,765,702.45
  5. Step 5: Solve for x
    x = 46,162,765,702.45/311,851.59
  6. Step 6: Final answer
    x = 148,028.00

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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.