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Finding the Fourth Proportional to 205,714.10, 308,510.67 and 87,384.50

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Solution

The fourth proportional to 205,714.10, 308,510.67 and 87,384.50 is: 131,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.10 : 308,510.67 = 87,384.50 : x
  2. Step 2: Convert to fraction form
    205,714.10/308,510.67 = 87,384.50/x
  3. Step 3: Cross multiply
    205,714.10x = 308,510.67 × 87,384.50
  4. Step 4: Simplify right side
    205,714.10x = 26,959,050,642.62
  5. Step 5: Solve for x
    x = 26,959,050,642.62/205,714.10
  6. Step 6: Final answer
    x = 131,051.06

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