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Finding the Fourth Proportional to 120,533.45, 180,764.53 and 45,598.01

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Solution

The fourth proportional to 120,533.45, 180,764.53 and 45,598.01 is: 68,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,533.45 : 180,764.53 = 45,598.01 : x
  2. Step 2: Convert to fraction form
    120,533.45/180,764.53 = 45,598.01/x
  3. Step 3: Cross multiply
    120,533.45x = 180,764.53 × 45,598.01
  4. Step 4: Simplify right side
    120,533.45x = 8,242,501,828.77
  5. Step 5: Solve for x
    x = 8,242,501,828.77/120,533.45
  6. Step 6: Final answer
    x = 68,383.52

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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.