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Finding the Fourth Proportional to 177,647.52, 266,339.52 and 107,510.16

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Solution

The fourth proportional to 177,647.52, 266,339.52 and 107,510.16 is: 161,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,647.52 : 266,339.52 = 107,510.16 : x
  2. Step 2: Convert to fraction form
    177,647.52/266,339.52 = 107,510.16/x
  3. Step 3: Cross multiply
    177,647.52x = 266,339.52 × 107,510.16
  4. Step 4: Simplify right side
    177,647.52x = 28,634,204,409.52
  5. Step 5: Solve for x
    x = 28,634,204,409.52/177,647.52
  6. Step 6: Final answer
    x = 161,185.50

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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.