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Finding the Fourth Proportional to 314,151.80, 471,206.10 and 100,916.60

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Solution

The fourth proportional to 314,151.80, 471,206.10 and 100,916.60 is: 151,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,151.80 : 471,206.10 = 100,916.60 : x
  2. Step 2: Convert to fraction form
    314,151.80/471,206.10 = 100,916.60/x
  3. Step 3: Cross multiply
    314,151.80x = 471,206.10 × 100,916.60
  4. Step 4: Simplify right side
    314,151.80x = 47,552,517,511.26
  5. Step 5: Solve for x
    x = 47,552,517,511.26/314,151.80
  6. Step 6: Final answer
    x = 151,367.96

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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.