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Finding the Fourth Proportional to 116,388.58, 160,603.77 and 78,140.38

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Solution

The fourth proportional to 116,388.58, 160,603.77 and 78,140.38 is: 107,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,388.58 : 160,603.77 = 78,140.38 : x
  2. Step 2: Convert to fraction form
    116,388.58/160,603.77 = 78,140.38/x
  3. Step 3: Cross multiply
    116,388.58x = 160,603.77 × 78,140.38
  4. Step 4: Simplify right side
    116,388.58x = 12,549,639,617.23
  5. Step 5: Solve for x
    x = 12,549,639,617.23/116,388.58
  6. Step 6: Final answer
    x = 107,825.35

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Why These Related Problems?

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