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Finding the Fourth Proportional to 144,576.96, 216,852.64 and 51,078.08

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Solution

The fourth proportional to 144,576.96, 216,852.64 and 51,078.08 is: 76,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,576.96 : 216,852.64 = 51,078.08 : x
  2. Step 2: Convert to fraction form
    144,576.96/216,852.64 = 51,078.08/x
  3. Step 3: Cross multiply
    144,576.96x = 216,852.64 × 51,078.08
  4. Step 4: Simplify right side
    144,576.96x = 11,076,416,494.13
  5. Step 5: Solve for x
    x = 11,076,416,494.13/144,576.96
  6. Step 6: Final answer
    x = 76,612.60

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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.