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Finding the Fourth Proportional to 228,878, 315,870.24 and 126,913.60

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Solution

The fourth proportional to 228,878, 315,870.24 and 126,913.60 is: 175,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,878 : 315,870.24 = 126,913.60 : x
  2. Step 2: Convert to fraction form
    228,878/315,870.24 = 126,913.60/x
  3. Step 3: Cross multiply
    228,878x = 315,870.24 × 126,913.60
  4. Step 4: Simplify right side
    228,878x = 40,088,229,291.26
  5. Step 5: Solve for x
    x = 40,088,229,291.26/228,878
  6. Step 6: Final answer
    x = 175,151.08

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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.