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Finding the Fourth Proportional to 265,738.82, 398,606.54 and 97,270.88

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Solution

The fourth proportional to 265,738.82, 398,606.54 and 97,270.88 is: 145,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,738.82 : 398,606.54 = 97,270.88 : x
  2. Step 2: Convert to fraction form
    265,738.82/398,606.54 = 97,270.88/x
  3. Step 3: Cross multiply
    265,738.82x = 398,606.54 × 97,270.88
  4. Step 4: Simplify right side
    265,738.82x = 38,772,806,440.17
  5. Step 5: Solve for x
    x = 38,772,806,440.17/265,738.82
  6. Step 6: Final answer
    x = 145,905.69

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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.