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Finding the Fourth Proportional to 288,024.96, 431,852.52 and 119,661.60

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Solution

The fourth proportional to 288,024.96, 431,852.52 and 119,661.60 is: 179,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,024.96 : 431,852.52 = 119,661.60 : x
  2. Step 2: Convert to fraction form
    288,024.96/431,852.52 = 119,661.60/x
  3. Step 3: Cross multiply
    288,024.96x = 431,852.52 × 119,661.60
  4. Step 4: Simplify right side
    288,024.96x = 51,676,163,507.23
  5. Step 5: Solve for x
    x = 51,676,163,507.23/288,024.96
  6. Step 6: Final answer
    x = 179,415.57

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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.