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Finding the Fourth Proportional to 153,879, 230,848.43 and 59,102.25

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Solution

The fourth proportional to 153,879, 230,848.43 and 59,102.25 is: 88,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,879 : 230,848.43 = 59,102.25 : x
  2. Step 2: Convert to fraction form
    153,879/230,848.43 = 59,102.25/x
  3. Step 3: Cross multiply
    153,879x = 230,848.43 × 59,102.25
  4. Step 4: Simplify right side
    153,879x = 13,643,661,326.46
  5. Step 5: Solve for x
    x = 13,643,661,326.46/153,879
  6. Step 6: Final answer
    x = 88,664.87

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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.