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Finding the Fourth Proportional to 164,078.70, 246,118.05 and 153,007.02

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Solution

The fourth proportional to 164,078.70, 246,118.05 and 153,007.02 is: 229,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,078.70 : 246,118.05 = 153,007.02 : x
  2. Step 2: Convert to fraction form
    164,078.70/246,118.05 = 153,007.02/x
  3. Step 3: Cross multiply
    164,078.70x = 246,118.05 × 153,007.02
  4. Step 4: Simplify right side
    164,078.70x = 37,657,789,398.71
  5. Step 5: Solve for x
    x = 37,657,789,398.71/164,078.70
  6. Step 6: Final answer
    x = 229,510.53

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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.