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Finding the Fourth Proportional to 227,924.06, 314,535.22 and 127,322.06

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Solution

The fourth proportional to 227,924.06, 314,535.22 and 127,322.06 is: 175,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,924.06 : 314,535.22 = 127,322.06 : x
  2. Step 2: Convert to fraction form
    227,924.06/314,535.22 = 127,322.06/x
  3. Step 3: Cross multiply
    227,924.06x = 314,535.22 × 127,322.06
  4. Step 4: Simplify right side
    227,924.06x = 40,047,272,152.95
  5. Step 5: Solve for x
    x = 40,047,272,152.95/227,924.06
  6. Step 6: Final answer
    x = 175,704.45

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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.