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Finding the Fourth Proportional to 209,798.94, 289,518.86 and 114,306.31

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Solution

The fourth proportional to 209,798.94, 289,518.86 and 114,306.31 is: 157,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,798.94 : 289,518.86 = 114,306.31 : x
  2. Step 2: Convert to fraction form
    209,798.94/289,518.86 = 114,306.31/x
  3. Step 3: Cross multiply
    209,798.94x = 289,518.86 × 114,306.31
  4. Step 4: Simplify right side
    209,798.94x = 33,093,830,542.88
  5. Step 5: Solve for x
    x = 33,093,830,542.88/209,798.94
  6. Step 6: Final answer
    x = 157,740.69

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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.