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Finding the Fourth Proportional to 116,602.56, 174,990.31 and 86,686.02

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Solution

The fourth proportional to 116,602.56, 174,990.31 and 86,686.02 is: 130,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,602.56 : 174,990.31 = 86,686.02 : x
  2. Step 2: Convert to fraction form
    116,602.56/174,990.31 = 86,686.02/x
  3. Step 3: Cross multiply
    116,602.56x = 174,990.31 × 86,686.02
  4. Step 4: Simplify right side
    116,602.56x = 15,169,213,295.75
  5. Step 5: Solve for x
    x = 15,169,213,295.75/116,602.56
  6. Step 6: Final answer
    x = 130,093.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.