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Finding the Fourth Proportional to 209,799.92, 314,419.62 and 76,554.92

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Solution

The fourth proportional to 209,799.92, 314,419.62 and 76,554.92 is: 114,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,799.92 : 314,419.62 = 76,554.92 : x
  2. Step 2: Convert to fraction form
    209,799.92/314,419.62 = 76,554.92/x
  3. Step 3: Cross multiply
    209,799.92x = 314,419.62 × 76,554.92
  4. Step 4: Simplify right side
    209,799.92x = 24,070,368,855.53
  5. Step 5: Solve for x
    x = 24,070,368,855.53/209,799.92
  6. Step 6: Final answer
    x = 114,730.11

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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.