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Finding the Fourth Proportional to 228,052.32, 314,714.16 and 127,456.80

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Solution

The fourth proportional to 228,052.32, 314,714.16 and 127,456.80 is: 175,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,052.32 : 314,714.16 = 127,456.80 : x
  2. Step 2: Convert to fraction form
    228,052.32/314,714.16 = 127,456.80/x
  3. Step 3: Cross multiply
    228,052.32x = 314,714.16 × 127,456.80
  4. Step 4: Simplify right side
    228,052.32x = 40,112,459,748.29
  5. Step 5: Solve for x
    x = 40,112,459,748.29/228,052.32
  6. Step 6: Final answer
    x = 175,891.48

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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.