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Finding the Fourth Proportional to 116,640.14, 160,880.47 and 77,858.40

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Solution

The fourth proportional to 116,640.14, 160,880.47 and 77,858.40 is: 107,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,640.14 : 160,880.47 = 77,858.40 : x
  2. Step 2: Convert to fraction form
    116,640.14/160,880.47 = 77,858.40/x
  3. Step 3: Cross multiply
    116,640.14x = 160,880.47 × 77,858.40
  4. Step 4: Simplify right side
    116,640.14x = 12,525,895,985.45
  5. Step 5: Solve for x
    x = 12,525,895,985.45/116,640.14
  6. Step 6: Final answer
    x = 107,389.24

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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.