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Finding the Fourth Proportional to 182,089, 273,182.10 and 57,430

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Solution

The fourth proportional to 182,089, 273,182.10 and 57,430 is: 86,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,089 : 273,182.10 = 57,430 : x
  2. Step 2: Convert to fraction form
    182,089/273,182.10 = 57,430/x
  3. Step 3: Cross multiply
    182,089x = 273,182.10 × 57,430
  4. Step 4: Simplify right side
    182,089x = 15,688,848,003.00
  5. Step 5: Solve for x
    x = 15,688,848,003.00/182,089
  6. Step 6: Final answer
    x = 86,160.33

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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.