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Finding the Fourth Proportional to 98,653.14, 148,110.83 and 51,938.82

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Solution

The fourth proportional to 98,653.14, 148,110.83 and 51,938.82 is: 77,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,653.14 : 148,110.83 = 51,938.82 : x
  2. Step 2: Convert to fraction form
    98,653.14/148,110.83 = 51,938.82/x
  3. Step 3: Cross multiply
    98,653.14x = 148,110.83 × 51,938.82
  4. Step 4: Simplify right side
    98,653.14x = 7,692,701,674.50
  5. Step 5: Solve for x
    x = 7,692,701,674.50/98,653.14
  6. Step 6: Final answer
    x = 77,977.26

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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.