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Finding the Fourth Proportional to 228,118.64, 314,805.76 and 126,151

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Solution

The fourth proportional to 228,118.64, 314,805.76 and 126,151 is: 174,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,118.64 : 314,805.76 = 126,151 : x
  2. Step 2: Convert to fraction form
    228,118.64/314,805.76 = 126,151/x
  3. Step 3: Cross multiply
    228,118.64x = 314,805.76 × 126,151
  4. Step 4: Simplify right side
    228,118.64x = 39,713,061,429.76
  5. Step 5: Solve for x
    x = 39,713,061,429.76/228,118.64
  6. Step 6: Final answer
    x = 174,089.51

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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.