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Finding the Fourth Proportional to 153,272.94, 229,919.13 and 48,096.06

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Solution

The fourth proportional to 153,272.94, 229,919.13 and 48,096.06 is: 72,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,272.94 : 229,919.13 = 48,096.06 : x
  2. Step 2: Convert to fraction form
    153,272.94/229,919.13 = 48,096.06/x
  3. Step 3: Cross multiply
    153,272.94x = 229,919.13 × 48,096.06
  4. Step 4: Simplify right side
    153,272.94x = 11,058,204,271.63
  5. Step 5: Solve for x
    x = 11,058,204,271.63/153,272.94
  6. Step 6: Final answer
    x = 72,147.14

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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.