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Finding the Fourth Proportional to 200,727.54, 301,087.80 and 48,925.98

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Solution

The fourth proportional to 200,727.54, 301,087.80 and 48,925.98 is: 73,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727.54 : 301,087.80 = 48,925.98 : x
  2. Step 2: Convert to fraction form
    200,727.54/301,087.80 = 48,925.98/x
  3. Step 3: Cross multiply
    200,727.54x = 301,087.80 × 48,925.98
  4. Step 4: Simplify right side
    200,727.54x = 14,731,015,681.04
  5. Step 5: Solve for x
    x = 14,731,015,681.04/200,727.54
  6. Step 6: Final answer
    x = 73,388.11

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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.