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Finding the Fourth Proportional to 301,120.95, 451,724.40 and 98,673.78

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Solution

The fourth proportional to 301,120.95, 451,724.40 and 98,673.78 is: 148,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,120.95 : 451,724.40 = 98,673.78 : x
  2. Step 2: Convert to fraction form
    301,120.95/451,724.40 = 98,673.78/x
  3. Step 3: Cross multiply
    301,120.95x = 451,724.40 × 98,673.78
  4. Step 4: Simplify right side
    301,120.95x = 44,573,354,066.23
  5. Step 5: Solve for x
    x = 44,573,354,066.23/301,120.95
  6. Step 6: Final answer
    x = 148,024.75

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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.