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Finding the Fourth Proportional to 114,196.37, 157,636.33 and 77,411.03

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Solution

The fourth proportional to 114,196.37, 157,636.33 and 77,411.03 is: 106,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,196.37 : 157,636.33 = 77,411.03 : x
  2. Step 2: Convert to fraction form
    114,196.37/157,636.33 = 77,411.03/x
  3. Step 3: Cross multiply
    114,196.37x = 157,636.33 × 77,411.03
  4. Step 4: Simplify right side
    114,196.37x = 12,202,789,689.01
  5. Step 5: Solve for x
    x = 12,202,789,689.01/114,196.37
  6. Step 6: Final answer
    x = 106,857.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.