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Finding the Fourth Proportional to 130,286.98, 179,714.14 and 100,026.18

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Solution

The fourth proportional to 130,286.98, 179,714.14 and 100,026.18 is: 137,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,286.98 : 179,714.14 = 100,026.18 : x
  2. Step 2: Convert to fraction form
    130,286.98/179,714.14 = 100,026.18/x
  3. Step 3: Cross multiply
    130,286.98x = 179,714.14 × 100,026.18
  4. Step 4: Simplify right side
    130,286.98x = 17,976,118,916.19
  5. Step 5: Solve for x
    x = 17,976,118,916.19/130,286.98
  6. Step 6: Final answer
    x = 137,973.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.