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Finding the Fourth Proportional to 200,290.93, 299,962.09 and 173,852.15

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Solution

The fourth proportional to 200,290.93, 299,962.09 and 173,852.15 is: 260,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290.93 : 299,962.09 = 173,852.15 : x
  2. Step 2: Convert to fraction form
    200,290.93/299,962.09 = 173,852.15/x
  3. Step 3: Cross multiply
    200,290.93x = 299,962.09 × 173,852.15
  4. Step 4: Simplify right side
    200,290.93x = 52,149,052,848.22
  5. Step 5: Solve for x
    x = 52,149,052,848.22/200,290.93
  6. Step 6: Final answer
    x = 260,366.53

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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.