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Finding the Fourth Proportional to 144,506.74, 199,461.95 and 84,104.22

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Solution

The fourth proportional to 144,506.74, 199,461.95 and 84,104.22 is: 116,088.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,506.74 : 199,461.95 = 84,104.22 : x
  2. Step 2: Convert to fraction form
    144,506.74/199,461.95 = 84,104.22/x
  3. Step 3: Cross multiply
    144,506.74x = 199,461.95 × 84,104.22
  4. Step 4: Simplify right side
    144,506.74x = 16,775,591,724.43
  5. Step 5: Solve for x
    x = 16,775,591,724.43/144,506.74
  6. Step 6: Final answer
    x = 116,088.65

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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.