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Finding the Fourth Proportional to 228,051.24, 314,675.42 and 127,429.80

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Solution

The fourth proportional to 228,051.24, 314,675.42 and 127,429.80 is: 175,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,051.24 : 314,675.42 = 127,429.80 : x
  2. Step 2: Convert to fraction form
    228,051.24/314,675.42 = 127,429.80/x
  3. Step 3: Cross multiply
    228,051.24x = 314,675.42 × 127,429.80
  4. Step 4: Simplify right side
    228,051.24x = 40,099,025,835.52
  5. Step 5: Solve for x
    x = 40,099,025,835.52/228,051.24
  6. Step 6: Final answer
    x = 175,833.40

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