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Finding the Fourth Proportional to 144,523.20, 216,822.60 and 55,779.60

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Solution

The fourth proportional to 144,523.20, 216,822.60 and 55,779.60 is: 83,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,523.20 : 216,822.60 = 55,779.60 : x
  2. Step 2: Convert to fraction form
    144,523.20/216,822.60 = 55,779.60/x
  3. Step 3: Cross multiply
    144,523.20x = 216,822.60 × 55,779.60
  4. Step 4: Simplify right side
    144,523.20x = 12,094,277,898.96
  5. Step 5: Solve for x
    x = 12,094,277,898.96/144,523.20
  6. Step 6: Final answer
    x = 83,683.99

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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.