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Finding the Fourth Proportional to 201,094.85, 301,681.15 and 76,426.13

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Solution

The fourth proportional to 201,094.85, 301,681.15 and 76,426.13 is: 114,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,094.85 : 301,681.15 = 76,426.13 : x
  2. Step 2: Convert to fraction form
    201,094.85/301,681.15 = 76,426.13/x
  3. Step 3: Cross multiply
    201,094.85x = 301,681.15 × 76,426.13
  4. Step 4: Simplify right side
    201,094.85x = 23,056,321,088.98
  5. Step 5: Solve for x
    x = 23,056,321,088.98/201,094.85
  6. Step 6: Final answer
    x = 114,653.96

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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.