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Finding the Fourth Proportional to 119,978.59, 180,152.85 and 101,501.41

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Solution

The fourth proportional to 119,978.59, 180,152.85 and 101,501.41 is: 152,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978.59 : 180,152.85 = 101,501.41 : x
  2. Step 2: Convert to fraction form
    119,978.59/180,152.85 = 101,501.41/x
  3. Step 3: Cross multiply
    119,978.59x = 180,152.85 × 101,501.41
  4. Step 4: Simplify right side
    119,978.59x = 18,285,768,290.52
  5. Step 5: Solve for x
    x = 18,285,768,290.52/119,978.59
  6. Step 6: Final answer
    x = 152,408.59

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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.