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Finding the Fourth Proportional to 228,097.42, 314,746.97 and 126,109.10

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Solution

The fourth proportional to 228,097.42, 314,746.97 and 126,109.10 is: 174,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,097.42 : 314,746.97 = 126,109.10 : x
  2. Step 2: Convert to fraction form
    228,097.42/314,746.97 = 126,109.10/x
  3. Step 3: Cross multiply
    228,097.42x = 314,746.97 × 126,109.10
  4. Step 4: Simplify right side
    228,097.42x = 39,692,457,270.75
  5. Step 5: Solve for x
    x = 39,692,457,270.75/228,097.42
  6. Step 6: Final answer
    x = 174,015.37

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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.