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Finding the Fourth Proportional to 178,002.40, 248,736.80 and 178,002.40

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Solution

The fourth proportional to 178,002.40, 248,736.80 and 178,002.40 is: 248,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002.40 : 248,736.80 = 178,002.40 : x
  2. Step 2: Convert to fraction form
    178,002.40/248,736.80 = 178,002.40/x
  3. Step 3: Cross multiply
    178,002.40x = 248,736.80 × 178,002.40
  4. Step 4: Simplify right side
    178,002.40x = 44,275,747,368.32
  5. Step 5: Solve for x
    x = 44,275,747,368.32/178,002.40
  6. Step 6: Final answer
    x = 248,736.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.