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Finding the Fourth Proportional to 180,409.68, 270,593.71 and 47,300.51

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Solution

The fourth proportional to 180,409.68, 270,593.71 and 47,300.51 is: 70,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,409.68 : 270,593.71 = 47,300.51 : x
  2. Step 2: Convert to fraction form
    180,409.68/270,593.71 = 47,300.51/x
  3. Step 3: Cross multiply
    180,409.68x = 270,593.71 × 47,300.51
  4. Step 4: Simplify right side
    180,409.68x = 12,799,219,788.00
  5. Step 5: Solve for x
    x = 12,799,219,788.00/180,409.68
  6. Step 6: Final answer
    x = 70,945.31

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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.