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Finding the Fourth Proportional to 209,482.86, 314,380.19 and 102,924.02

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Solution

The fourth proportional to 209,482.86, 314,380.19 and 102,924.02 is: 154,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,482.86 : 314,380.19 = 102,924.02 : x
  2. Step 2: Convert to fraction form
    209,482.86/314,380.19 = 102,924.02/x
  3. Step 3: Cross multiply
    209,482.86x = 314,380.19 × 102,924.02
  4. Step 4: Simplify right side
    209,482.86x = 32,357,271,659.09
  5. Step 5: Solve for x
    x = 32,357,271,659.09/209,482.86
  6. Step 6: Final answer
    x = 154,462.62

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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.