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Finding the Fourth Proportional to 318,851.94, 477,949.86 and 141,442.50

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Solution

The fourth proportional to 318,851.94, 477,949.86 and 141,442.50 is: 212,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,851.94 : 477,949.86 = 141,442.50 : x
  2. Step 2: Convert to fraction form
    318,851.94/477,949.86 = 141,442.50/x
  3. Step 3: Cross multiply
    318,851.94x = 477,949.86 × 141,442.50
  4. Step 4: Simplify right side
    318,851.94x = 67,602,423,073.05
  5. Step 5: Solve for x
    x = 67,602,423,073.05/318,851.94
  6. Step 6: Final answer
    x = 212,018.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.