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Finding the Fourth Proportional to 238,701.20, 358,051.80 and 145,389.20

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Solution

The fourth proportional to 238,701.20, 358,051.80 and 145,389.20 is: 218,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,701.20 : 358,051.80 = 145,389.20 : x
  2. Step 2: Convert to fraction form
    238,701.20/358,051.80 = 145,389.20/x
  3. Step 3: Cross multiply
    238,701.20x = 358,051.80 × 145,389.20
  4. Step 4: Simplify right side
    238,701.20x = 52,056,864,760.56
  5. Step 5: Solve for x
    x = 52,056,864,760.56/238,701.20
  6. Step 6: Final answer
    x = 218,083.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.