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Finding the Fourth Proportional to 209,953.67, 289,730.25 and 114,460.34

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Solution

The fourth proportional to 209,953.67, 289,730.25 and 114,460.34 is: 157,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.67 : 289,730.25 = 114,460.34 : x
  2. Step 2: Convert to fraction form
    209,953.67/289,730.25 = 114,460.34/x
  3. Step 3: Cross multiply
    209,953.67x = 289,730.25 × 114,460.34
  4. Step 4: Simplify right side
    209,953.67x = 33,162,621,474.63
  5. Step 5: Solve for x
    x = 33,162,621,474.63/209,953.67
  6. Step 6: Final answer
    x = 157,952.10

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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.