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Finding the Fourth Proportional to 144,188.10, 216,302.94 and 44,356.68

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Solution

The fourth proportional to 144,188.10, 216,302.94 and 44,356.68 is: 66,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,188.10 : 216,302.94 = 44,356.68 : x
  2. Step 2: Convert to fraction form
    144,188.10/216,302.94 = 44,356.68/x
  3. Step 3: Cross multiply
    144,188.10x = 216,302.94 × 44,356.68
  4. Step 4: Simplify right side
    144,188.10x = 9,594,480,292.64
  5. Step 5: Solve for x
    x = 9,594,480,292.64/144,188.10
  6. Step 6: Final answer
    x = 66,541.42

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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.