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Finding the Fourth Proportional to 350,808.94, 526,509.16 and 137,726.50

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Solution

The fourth proportional to 350,808.94, 526,509.16 and 137,726.50 is: 206,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,808.94 : 526,509.16 = 137,726.50 : x
  2. Step 2: Convert to fraction form
    350,808.94/526,509.16 = 137,726.50/x
  3. Step 3: Cross multiply
    350,808.94x = 526,509.16 × 137,726.50
  4. Step 4: Simplify right side
    350,808.94x = 72,514,262,164.15
  5. Step 5: Solve for x
    x = 72,514,262,164.15/350,808.94
  6. Step 6: Final answer
    x = 206,705.86

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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.