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Finding the Fourth Proportional to 116,110.94, 160,267.11 and 75,830.95

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Solution

The fourth proportional to 116,110.94, 160,267.11 and 75,830.95 is: 104,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,110.94 : 160,267.11 = 75,830.95 : x
  2. Step 2: Convert to fraction form
    116,110.94/160,267.11 = 75,830.95/x
  3. Step 3: Cross multiply
    116,110.94x = 160,267.11 × 75,830.95
  4. Step 4: Simplify right side
    116,110.94x = 12,153,207,121.02
  5. Step 5: Solve for x
    x = 12,153,207,121.02/116,110.94
  6. Step 6: Final answer
    x = 104,668.93

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1.5x scale

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.