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Finding the Fourth Proportional to 209,856.84, 289,602.48 and 114,363.55

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Solution

The fourth proportional to 209,856.84, 289,602.48 and 114,363.55 is: 157,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,856.84 : 289,602.48 = 114,363.55 : x
  2. Step 2: Convert to fraction form
    209,856.84/289,602.48 = 114,363.55/x
  3. Step 3: Cross multiply
    209,856.84x = 289,602.48 × 114,363.55
  4. Step 4: Simplify right side
    209,856.84x = 33,119,967,701.60
  5. Step 5: Solve for x
    x = 33,119,967,701.60/209,856.84
  6. Step 6: Final answer
    x = 157,821.72

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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.