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Finding the Fourth Proportional to 144,886, 199,943.40 and 84,498.52

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Solution

The fourth proportional to 144,886, 199,943.40 and 84,498.52 is: 116,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,886 : 199,943.40 = 84,498.52 : x
  2. Step 2: Convert to fraction form
    144,886/199,943.40 = 84,498.52/x
  3. Step 3: Cross multiply
    144,886x = 199,943.40 × 84,498.52
  4. Step 4: Simplify right side
    144,886x = 16,894,921,383.77
  5. Step 5: Solve for x
    x = 16,894,921,383.77/144,886
  6. Step 6: Final answer
    x = 116,608.38

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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.