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Finding the Fourth Proportional to 106,736.50, 147,290.70 and 58,987.00

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Solution

The fourth proportional to 106,736.50, 147,290.70 and 58,987.00 is: 81,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,736.50 : 147,290.70 = 58,987.00 : x
  2. Step 2: Convert to fraction form
    106,736.50/147,290.70 = 58,987.00/x
  3. Step 3: Cross multiply
    106,736.50x = 147,290.70 × 58,987.00
  4. Step 4: Simplify right side
    106,736.50x = 8,688,236,926.21
  5. Step 5: Solve for x
    x = 8,688,236,926.21/106,736.50
  6. Step 6: Final answer
    x = 81,398.93

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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.