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Finding the Fourth Proportional to 106,950.49, 160,583.43 and 59,657.98

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Solution

The fourth proportional to 106,950.49, 160,583.43 and 59,657.98 is: 89,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,950.49 : 160,583.43 = 59,657.98 : x
  2. Step 2: Convert to fraction form
    106,950.49/160,583.43 = 59,657.98/x
  3. Step 3: Cross multiply
    106,950.49x = 160,583.43 × 59,657.98
  4. Step 4: Simplify right side
    106,950.49x = 9,580,083,055.27
  5. Step 5: Solve for x
    x = 9,580,083,055.27/106,950.49
  6. Step 6: Final answer
    x = 89,574.93

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Why These Related Problems?

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