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Finding the Fourth Proportional to 228,257.03, 314,938.05 and 147,587.48

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Solution

The fourth proportional to 228,257.03, 314,938.05 and 147,587.48 is: 203,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,257.03 : 314,938.05 = 147,587.48 : x
  2. Step 2: Convert to fraction form
    228,257.03/314,938.05 = 147,587.48/x
  3. Step 3: Cross multiply
    228,257.03x = 314,938.05 × 147,587.48
  4. Step 4: Simplify right side
    228,257.03x = 46,480,911,580.92
  5. Step 5: Solve for x
    x = 46,480,911,580.92/228,257.03
  6. Step 6: Final answer
    x = 203,634.09

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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.