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Finding the Fourth Proportional to 180,294.72, 248,724 and 116,653.28

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Solution

The fourth proportional to 180,294.72, 248,724 and 116,653.28 is: 160,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,294.72 : 248,724 = 116,653.28 : x
  2. Step 2: Convert to fraction form
    180,294.72/248,724 = 116,653.28/x
  3. Step 3: Cross multiply
    180,294.72x = 248,724 × 116,653.28
  4. Step 4: Simplify right side
    180,294.72x = 29,014,470,414.72
  5. Step 5: Solve for x
    x = 29,014,470,414.72/180,294.72
  6. Step 6: Final answer
    x = 160,928.01

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1.5x scale

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.