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Finding the Fourth Proportional to 147,146, 203,068.14 and 86,719.18

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Solution

The fourth proportional to 147,146, 203,068.14 and 86,719.18 is: 119,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,146 : 203,068.14 = 86,719.18 : x
  2. Step 2: Convert to fraction form
    147,146/203,068.14 = 86,719.18/x
  3. Step 3: Cross multiply
    147,146x = 203,068.14 × 86,719.18
  4. Step 4: Simplify right side
    147,146x = 17,609,902,584.93
  5. Step 5: Solve for x
    x = 17,609,902,584.93/147,146
  6. Step 6: Final answer
    x = 119,676.39

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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.