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Finding the Fourth Proportional to 86,842.30, 130,069.05 and 84,898.30

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Solution

The fourth proportional to 86,842.30, 130,069.05 and 84,898.30 is: 127,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,842.30 : 130,069.05 = 84,898.30 : x
  2. Step 2: Convert to fraction form
    86,842.30/130,069.05 = 84,898.30/x
  3. Step 3: Cross multiply
    86,842.30x = 130,069.05 × 84,898.30
  4. Step 4: Simplify right side
    86,842.30x = 11,042,641,227.62
  5. Step 5: Solve for x
    x = 11,042,641,227.62/86,842.30
  6. Step 6: Final answer
    x = 127,157.40

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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.