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Finding the Fourth Proportional to 196,509.46, 294,735.48 and 96,642.85

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Solution

The fourth proportional to 196,509.46, 294,735.48 and 96,642.85 is: 144,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,509.46 : 294,735.48 = 96,642.85 : x
  2. Step 2: Convert to fraction form
    196,509.46/294,735.48 = 96,642.85/x
  3. Step 3: Cross multiply
    196,509.46x = 294,735.48 × 96,642.85
  4. Step 4: Simplify right side
    196,509.46x = 28,484,076,783.32
  5. Step 5: Solve for x
    x = 28,484,076,783.32/196,509.46
  6. Step 6: Final answer
    x = 144,950.16

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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.