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Finding the Fourth Proportional to 227,602.02, 314,090.49 and 127,000.02

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Solution

The fourth proportional to 227,602.02, 314,090.49 and 127,000.02 is: 175,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,602.02 : 314,090.49 = 127,000.02 : x
  2. Step 2: Convert to fraction form
    227,602.02/314,090.49 = 127,000.02/x
  3. Step 3: Cross multiply
    227,602.02x = 314,090.49 × 127,000.02
  4. Step 4: Simplify right side
    227,602.02x = 39,889,498,511.81
  5. Step 5: Solve for x
    x = 39,889,498,511.81/227,602.02
  6. Step 6: Final answer
    x = 175,259.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.