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Finding the Fourth Proportional to 144,714, 199,705.94 and 84,326.07

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Solution

The fourth proportional to 144,714, 199,705.94 and 84,326.07 is: 116,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,714 : 199,705.94 = 84,326.07 : x
  2. Step 2: Convert to fraction form
    144,714/199,705.94 = 84,326.07/x
  3. Step 3: Cross multiply
    144,714x = 199,705.94 × 84,326.07
  4. Step 4: Simplify right side
    144,714x = 16,840,417,075.86
  5. Step 5: Solve for x
    x = 16,840,417,075.86/144,714
  6. Step 6: Final answer
    x = 116,370.34

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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.