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Finding the Fourth Proportional to 178,009.49, 245,653.37 and 97,442.12

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Solution

The fourth proportional to 178,009.49, 245,653.37 and 97,442.12 is: 134,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,009.49 : 245,653.37 = 97,442.12 : x
  2. Step 2: Convert to fraction form
    178,009.49/245,653.37 = 97,442.12/x
  3. Step 3: Cross multiply
    178,009.49x = 245,653.37 × 97,442.12
  4. Step 4: Simplify right side
    178,009.49x = 23,936,983,442.47
  5. Step 5: Solve for x
    x = 23,936,983,442.47/178,009.49
  6. Step 6: Final answer
    x = 134,470.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.