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Finding the Fourth Proportional to 103,816.80, 155,840.40 and 97,048.80

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Solution

The fourth proportional to 103,816.80, 155,840.40 and 97,048.80 is: 145,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,816.80 : 155,840.40 = 97,048.80 : x
  2. Step 2: Convert to fraction form
    103,816.80/155,840.40 = 97,048.80/x
  3. Step 3: Cross multiply
    103,816.80x = 155,840.40 × 97,048.80
  4. Step 4: Simplify right side
    103,816.80x = 15,124,123,811.52
  5. Step 5: Solve for x
    x = 15,124,123,811.52/103,816.80
  6. Step 6: Final answer
    x = 145,680.89

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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.