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Finding the Fourth Proportional to 235,641.64, 353,528.34 and 77,981.08

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Solution

The fourth proportional to 235,641.64, 353,528.34 and 77,981.08 is: 116,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,641.64 : 353,528.34 = 77,981.08 : x
  2. Step 2: Convert to fraction form
    235,641.64/353,528.34 = 77,981.08/x
  3. Step 3: Cross multiply
    235,641.64x = 353,528.34 × 77,981.08
  4. Step 4: Simplify right side
    235,641.64x = 27,568,521,763.81
  5. Step 5: Solve for x
    x = 27,568,521,763.81/235,641.64
  6. Step 6: Final answer
    x = 116,993.42

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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.