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Finding the Fourth Proportional to 209,856.59, 289,602.14 and 114,363.30

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Solution

The fourth proportional to 209,856.59, 289,602.14 and 114,363.30 is: 157,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,856.59 : 289,602.14 = 114,363.30 : x
  2. Step 2: Convert to fraction form
    209,856.59/289,602.14 = 114,363.30/x
  3. Step 3: Cross multiply
    209,856.59x = 289,602.14 × 114,363.30
  4. Step 4: Simplify right side
    209,856.59x = 33,119,855,845.65
  5. Step 5: Solve for x
    x = 33,119,855,845.65/209,856.59
  6. Step 6: Final answer
    x = 157,821.38

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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.