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Finding the Fourth Proportional to 100,871.80, 151,307.70 and 48,383.80

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Solution

The fourth proportional to 100,871.80, 151,307.70 and 48,383.80 is: 72,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,871.80 : 151,307.70 = 48,383.80 : x
  2. Step 2: Convert to fraction form
    100,871.80/151,307.70 = 48,383.80/x
  3. Step 3: Cross multiply
    100,871.80x = 151,307.70 × 48,383.80
  4. Step 4: Simplify right side
    100,871.80x = 7,320,841,495.26
  5. Step 5: Solve for x
    x = 7,320,841,495.26/100,871.80
  6. Step 6: Final answer
    x = 72,575.70

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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.