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Finding the Fourth Proportional to 209,251, 314,014.74 and 98,451.64

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Solution

The fourth proportional to 209,251, 314,014.74 and 98,451.64 is: 147,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,251 : 314,014.74 = 98,451.64 : x
  2. Step 2: Convert to fraction form
    209,251/314,014.74 = 98,451.64/x
  3. Step 3: Cross multiply
    209,251x = 314,014.74 × 98,451.64
  4. Step 4: Simplify right side
    209,251x = 30,915,266,137.17
  5. Step 5: Solve for x
    x = 30,915,266,137.17/209,251
  6. Step 6: Final answer
    x = 147,742.50

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1.5x scale

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.