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Finding the Fourth Proportional to 238,316.07, 328,905.36 and 137,714.07

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Solution

The fourth proportional to 238,316.07, 328,905.36 and 137,714.07 is: 190,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,316.07 : 328,905.36 = 137,714.07 : x
  2. Step 2: Convert to fraction form
    238,316.07/328,905.36 = 137,714.07/x
  3. Step 3: Cross multiply
    238,316.07x = 328,905.36 × 137,714.07
  4. Step 4: Simplify right side
    238,316.07x = 45,294,895,770.42
  5. Step 5: Solve for x
    x = 45,294,895,770.42/238,316.07
  6. Step 6: Final answer
    x = 190,062.28

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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.