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Finding the Fourth Proportional to 229,509.40, 344,091.30 and 96,280.60

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Solution

The fourth proportional to 229,509.40, 344,091.30 and 96,280.60 is: 144,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,509.40 : 344,091.30 = 96,280.60 : x
  2. Step 2: Convert to fraction form
    229,509.40/344,091.30 = 96,280.60/x
  3. Step 3: Cross multiply
    229,509.40x = 344,091.30 × 96,280.60
  4. Step 4: Simplify right side
    229,509.40x = 33,129,316,818.78
  5. Step 5: Solve for x
    x = 33,129,316,818.78/229,509.40
  6. Step 6: Final answer
    x = 144,348.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.