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Finding the Fourth Proportional to 268,164.54, 402,141.06 and 97,345.44

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Solution

The fourth proportional to 268,164.54, 402,141.06 and 97,345.44 is: 145,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,164.54 : 402,141.06 = 97,345.44 : x
  2. Step 2: Convert to fraction form
    268,164.54/402,141.06 = 97,345.44/x
  3. Step 3: Cross multiply
    268,164.54x = 402,141.06 × 97,345.44
  4. Step 4: Simplify right side
    268,164.54x = 39,146,598,427.77
  5. Step 5: Solve for x
    x = 39,146,598,427.77/268,164.54
  6. Step 6: Final answer
    x = 145,979.77

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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.