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Finding the Fourth Proportional to 208,521.51, 312,594.99 and 101,845.11

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Solution

The fourth proportional to 208,521.51, 312,594.99 and 101,845.11 is: 152,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,521.51 : 312,594.99 = 101,845.11 : x
  2. Step 2: Convert to fraction form
    208,521.51/312,594.99 = 101,845.11/x
  3. Step 3: Cross multiply
    208,521.51x = 312,594.99 × 101,845.11
  4. Step 4: Simplify right side
    208,521.51x = 31,836,271,142.00
  5. Step 5: Solve for x
    x = 31,836,271,142.00/208,521.51
  6. Step 6: Final answer
    x = 152,676.20

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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.