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Finding the Fourth Proportional to 209,952.27, 289,728.35 and 114,458.94

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Solution

The fourth proportional to 209,952.27, 289,728.35 and 114,458.94 is: 157,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.27 : 289,728.35 = 114,458.94 : x
  2. Step 2: Convert to fraction form
    209,952.27/289,728.35 = 114,458.94/x
  3. Step 3: Cross multiply
    209,952.27x = 289,728.35 × 114,458.94
  4. Step 4: Simplify right side
    209,952.27x = 33,161,999,828.95
  5. Step 5: Solve for x
    x = 33,161,999,828.95/209,952.27
  6. Step 6: Final answer
    x = 157,950.18

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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.