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Finding the Fourth Proportional to 153,497.66, 230,403.54 and 126,758.48

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Solution

The fourth proportional to 153,497.66, 230,403.54 and 126,758.48 is: 190,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,497.66 : 230,403.54 = 126,758.48 : x
  2. Step 2: Convert to fraction form
    153,497.66/230,403.54 = 126,758.48/x
  3. Step 3: Cross multiply
    153,497.66x = 230,403.54 × 126,758.48
  4. Step 4: Simplify right side
    153,497.66x = 29,205,602,517.02
  5. Step 5: Solve for x
    x = 29,205,602,517.02/153,497.66
  6. Step 6: Final answer
    x = 190,267.41

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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.