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Finding the Fourth Proportional to 153,609.82, 230,392.86 and 48,415.12

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Solution

The fourth proportional to 153,609.82, 230,392.86 and 48,415.12 is: 72,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,609.82 : 230,392.86 = 48,415.12 : x
  2. Step 2: Convert to fraction form
    153,609.82/230,392.86 = 48,415.12/x
  3. Step 3: Cross multiply
    153,609.82x = 230,392.86 × 48,415.12
  4. Step 4: Simplify right side
    153,609.82x = 11,154,497,964.04
  5. Step 5: Solve for x
    x = 11,154,497,964.04/153,609.82
  6. Step 6: Final answer
    x = 72,615.79

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1.5x scale

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.