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Finding the Fourth Proportional to 214,023.60, 320,959.80 and 73,749.60

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Solution

The fourth proportional to 214,023.60, 320,959.80 and 73,749.60 is: 110,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,023.60 : 320,959.80 = 73,749.60 : x
  2. Step 2: Convert to fraction form
    214,023.60/320,959.80 = 73,749.60/x
  3. Step 3: Cross multiply
    214,023.60x = 320,959.80 × 73,749.60
  4. Step 4: Simplify right side
    214,023.60x = 23,670,656,866.08
  5. Step 5: Solve for x
    x = 23,670,656,866.08/214,023.60
  6. Step 6: Final answer
    x = 110,598.35

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1.5x scale

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.