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Finding the Fourth Proportional to 177,897.21, 266,933.49 and 83,133.93

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Solution

The fourth proportional to 177,897.21, 266,933.49 and 83,133.93 is: 124,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,897.21 : 266,933.49 = 83,133.93 : x
  2. Step 2: Convert to fraction form
    177,897.21/266,933.49 = 83,133.93/x
  3. Step 3: Cross multiply
    177,897.21x = 266,933.49 × 83,133.93
  4. Step 4: Simplify right side
    177,897.21x = 22,191,230,072.32
  5. Step 5: Solve for x
    x = 22,191,230,072.32/177,897.21
  6. Step 6: Final answer
    x = 124,741.87

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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.