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Finding the Fourth Proportional to 102,188.16, 153,019.80 and 62,625.42

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Solution

The fourth proportional to 102,188.16, 153,019.80 and 62,625.42 is: 93,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188.16 : 153,019.80 = 62,625.42 : x
  2. Step 2: Convert to fraction form
    102,188.16/153,019.80 = 62,625.42/x
  3. Step 3: Cross multiply
    102,188.16x = 153,019.80 × 62,625.42
  4. Step 4: Simplify right side
    102,188.16x = 9,582,929,243.32
  5. Step 5: Solve for x
    x = 9,582,929,243.32/102,188.16
  6. Step 6: Final answer
    x = 93,777.30

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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.