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Finding the Fourth Proportional to 268,242.84, 402,258.56 and 97,424.17

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Solution

The fourth proportional to 268,242.84, 402,258.56 and 97,424.17 is: 146,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,242.84 : 402,258.56 = 97,424.17 : x
  2. Step 2: Convert to fraction form
    268,242.84/402,258.56 = 97,424.17/x
  3. Step 3: Cross multiply
    268,242.84x = 402,258.56 × 97,424.17
  4. Step 4: Simplify right side
    268,242.84x = 39,189,704,840.63
  5. Step 5: Solve for x
    x = 39,189,704,840.63/268,242.84
  6. Step 6: Final answer
    x = 146,097.86

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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.