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Finding the Fourth Proportional to 228,081.70, 314,795.46 and 132,602.14

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Solution

The fourth proportional to 228,081.70, 314,795.46 and 132,602.14 is: 183,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,081.70 : 314,795.46 = 132,602.14 : x
  2. Step 2: Convert to fraction form
    228,081.70/314,795.46 = 132,602.14/x
  3. Step 3: Cross multiply
    228,081.70x = 314,795.46 × 132,602.14
  4. Step 4: Simplify right side
    228,081.70x = 41,742,551,658.28
  5. Step 5: Solve for x
    x = 41,742,551,658.28/228,081.70
  6. Step 6: Final answer
    x = 183,015.79

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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.