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Finding the Fourth Proportional to 144,266.67, 199,113.39 and 83,856.06

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Solution

The fourth proportional to 144,266.67, 199,113.39 and 83,856.06 is: 115,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,266.67 : 199,113.39 = 83,856.06 : x
  2. Step 2: Convert to fraction form
    144,266.67/199,113.39 = 83,856.06/x
  3. Step 3: Cross multiply
    144,266.67x = 199,113.39 × 83,856.06
  4. Step 4: Simplify right side
    144,266.67x = 16,696,864,378.64
  5. Step 5: Solve for x
    x = 16,696,864,378.64/144,266.67
  6. Step 6: Final answer
    x = 115,736.12

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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.