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Finding the Fourth Proportional to 153,980.91, 230,936.54 and 48,742.47

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Solution

The fourth proportional to 153,980.91, 230,936.54 and 48,742.47 is: 73,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,980.91 : 230,936.54 = 48,742.47 : x
  2. Step 2: Convert to fraction form
    153,980.91/230,936.54 = 48,742.47/x
  3. Step 3: Cross multiply
    153,980.91x = 230,936.54 × 48,742.47
  4. Step 4: Simplify right side
    153,980.91x = 11,256,417,129.14
  5. Step 5: Solve for x
    x = 11,256,417,129.14/153,980.91
  6. Step 6: Final answer
    x = 73,102.68

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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.