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Finding the Fourth Proportional to 196,365.18, 294,653.34 and 78,037.50

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Solution

The fourth proportional to 196,365.18, 294,653.34 and 78,037.50 is: 117,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,365.18 : 294,653.34 = 78,037.50 : x
  2. Step 2: Convert to fraction form
    196,365.18/294,653.34 = 78,037.50/x
  3. Step 3: Cross multiply
    196,365.18x = 294,653.34 × 78,037.50
  4. Step 4: Simplify right side
    196,365.18x = 22,994,010,020.25
  5. Step 5: Solve for x
    x = 22,994,010,020.25/196,365.18
  6. Step 6: Final answer
    x = 117,098.20

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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.