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Finding the Fourth Proportional to 131,258.96, 196,929.29 and 47,019.84

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Solution

The fourth proportional to 131,258.96, 196,929.29 and 47,019.84 is: 70,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,258.96 : 196,929.29 = 47,019.84 : x
  2. Step 2: Convert to fraction form
    131,258.96/196,929.29 = 47,019.84/x
  3. Step 3: Cross multiply
    131,258.96x = 196,929.29 × 47,019.84
  4. Step 4: Simplify right side
    131,258.96x = 9,259,583,707.11
  5. Step 5: Solve for x
    x = 9,259,583,707.11/131,258.96
  6. Step 6: Final answer
    x = 70,544.40

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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.