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Finding the Fourth Proportional to 145,193.52, 217,821.06 and 51,699

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Solution

The fourth proportional to 145,193.52, 217,821.06 and 51,699 is: 77,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,193.52 : 217,821.06 = 51,699 : x
  2. Step 2: Convert to fraction form
    145,193.52/217,821.06 = 51,699/x
  3. Step 3: Cross multiply
    145,193.52x = 217,821.06 × 51,699
  4. Step 4: Simplify right side
    145,193.52x = 11,261,130,980.94
  5. Step 5: Solve for x
    x = 11,261,130,980.94/145,193.52
  6. Step 6: Final answer
    x = 77,559.46

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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.