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Finding the Fourth Proportional to 180,231.96, 248,709.42 and 99,653.16

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Solution

The fourth proportional to 180,231.96, 248,709.42 and 99,653.16 is: 137,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,231.96 : 248,709.42 = 99,653.16 : x
  2. Step 2: Convert to fraction form
    180,231.96/248,709.42 = 99,653.16/x
  3. Step 3: Cross multiply
    180,231.96x = 248,709.42 × 99,653.16
  4. Step 4: Simplify right side
    180,231.96x = 24,784,679,624.77
  5. Step 5: Solve for x
    x = 24,784,679,624.77/180,231.96
  6. Step 6: Final answer
    x = 137,515.45

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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.