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Finding the Fourth Proportional to 209,718.73, 289,411.80 and 114,225.43

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Solution

The fourth proportional to 209,718.73, 289,411.80 and 114,225.43 is: 157,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,718.73 : 289,411.80 = 114,225.43 : x
  2. Step 2: Convert to fraction form
    209,718.73/289,411.80 = 114,225.43/x
  3. Step 3: Cross multiply
    209,718.73x = 289,411.80 × 114,225.43
  4. Step 4: Simplify right side
    209,718.73x = 33,058,187,302.07
  5. Step 5: Solve for x
    x = 33,058,187,302.07/209,718.73
  6. Step 6: Final answer
    x = 157,631.07

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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.