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Finding the Fourth Proportional to 144,281.63, 216,466.22 and 102,243.01

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Solution

The fourth proportional to 144,281.63, 216,466.22 and 102,243.01 is: 153,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,281.63 : 216,466.22 = 102,243.01 : x
  2. Step 2: Convert to fraction form
    144,281.63/216,466.22 = 102,243.01/x
  3. Step 3: Cross multiply
    144,281.63x = 216,466.22 × 102,243.01
  4. Step 4: Simplify right side
    144,281.63x = 22,132,158,016.44
  5. Step 5: Solve for x
    x = 22,132,158,016.44/144,281.63
  6. Step 6: Final answer
    x = 153,395.54

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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.