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Finding the Fourth Proportional to 314,094.36, 471,141.54 and 127,237.08

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Solution

The fourth proportional to 314,094.36, 471,141.54 and 127,237.08 is: 190,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,094.36 : 471,141.54 = 127,237.08 : x
  2. Step 2: Convert to fraction form
    314,094.36/471,141.54 = 127,237.08/x
  3. Step 3: Cross multiply
    314,094.36x = 471,141.54 × 127,237.08
  4. Step 4: Simplify right side
    314,094.36x = 59,946,673,816.30
  5. Step 5: Solve for x
    x = 59,946,673,816.30/314,094.36
  6. Step 6: Final answer
    x = 190,855.62

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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.