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Finding the Fourth Proportional to 102,188.66, 153,061.45 and 49,487.63

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Solution

The fourth proportional to 102,188.66, 153,061.45 and 49,487.63 is: 74,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188.66 : 153,061.45 = 49,487.63 : x
  2. Step 2: Convert to fraction form
    102,188.66/153,061.45 = 49,487.63/x
  3. Step 3: Cross multiply
    102,188.66x = 153,061.45 × 49,487.63
  4. Step 4: Simplify right side
    102,188.66x = 7,574,647,515.84
  5. Step 5: Solve for x
    x = 7,574,647,515.84/102,188.66
  6. Step 6: Final answer
    x = 74,124.15

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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.