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Finding the Fourth Proportional to 209,993.60, 314,991.66 and 52,222.06

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Solution

The fourth proportional to 209,993.60, 314,991.66 and 52,222.06 is: 78,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,993.60 : 314,991.66 = 52,222.06 : x
  2. Step 2: Convert to fraction form
    209,993.60/314,991.66 = 52,222.06/x
  3. Step 3: Cross multiply
    209,993.60x = 314,991.66 × 52,222.06
  4. Step 4: Simplify right side
    209,993.60x = 16,449,513,368.02
  5. Step 5: Solve for x
    x = 16,449,513,368.02/209,993.60
  6. Step 6: Final answer
    x = 78,333.40

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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.