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Finding the Fourth Proportional to 209,994.74, 314,904.51 and 65,863.42

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Solution

The fourth proportional to 209,994.74, 314,904.51 and 65,863.42 is: 98,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,994.74 : 314,904.51 = 65,863.42 : x
  2. Step 2: Convert to fraction form
    209,994.74/314,904.51 = 65,863.42/x
  3. Step 3: Cross multiply
    209,994.74x = 314,904.51 × 65,863.42
  4. Step 4: Simplify right side
    209,994.74x = 20,740,688,642.64
  5. Step 5: Solve for x
    x = 20,740,688,642.64/209,994.74
  6. Step 6: Final answer
    x = 98,767.66

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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.