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Finding the Fourth Proportional to 209,950.38, 314,975.25 and 83,597.94

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Solution

The fourth proportional to 209,950.38, 314,975.25 and 83,597.94 is: 125,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,950.38 : 314,975.25 = 83,597.94 : x
  2. Step 2: Convert to fraction form
    209,950.38/314,975.25 = 83,597.94/x
  3. Step 3: Cross multiply
    209,950.38x = 314,975.25 × 83,597.94
  4. Step 4: Simplify right side
    209,950.38x = 26,331,282,050.99
  5. Step 5: Solve for x
    x = 26,331,282,050.99/209,950.38
  6. Step 6: Final answer
    x = 125,416.69

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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.