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Finding the Fourth Proportional to 296,202.84, 444,258.63 and 96,522.72

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Solution

The fourth proportional to 296,202.84, 444,258.63 and 96,522.72 is: 144,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,202.84 : 444,258.63 = 96,522.72 : x
  2. Step 2: Convert to fraction form
    296,202.84/444,258.63 = 96,522.72/x
  3. Step 3: Cross multiply
    296,202.84x = 444,258.63 × 96,522.72
  4. Step 4: Simplify right side
    296,202.84x = 42,881,051,351.07
  5. Step 5: Solve for x
    x = 42,881,051,351.07/296,202.84
  6. Step 6: Final answer
    x = 144,769.21

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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.