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Finding the Fourth Proportional to 229,496.40, 344,071.80 and 96,267.60

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Solution

The fourth proportional to 229,496.40, 344,071.80 and 96,267.60 is: 144,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,496.40 : 344,071.80 = 96,267.60 : x
  2. Step 2: Convert to fraction form
    229,496.40/344,071.80 = 96,267.60/x
  3. Step 3: Cross multiply
    229,496.40x = 344,071.80 × 96,267.60
  4. Step 4: Simplify right side
    229,496.40x = 33,122,966,413.68
  5. Step 5: Solve for x
    x = 33,122,966,413.68/229,496.40
  6. Step 6: Final answer
    x = 144,328.92

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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.