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Finding the Fourth Proportional to 184,089, 254,044.32 and 103,515.81

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Solution

The fourth proportional to 184,089, 254,044.32 and 103,515.81 is: 142,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,089 : 254,044.32 = 103,515.81 : x
  2. Step 2: Convert to fraction form
    184,089/254,044.32 = 103,515.81/x
  3. Step 3: Cross multiply
    184,089x = 254,044.32 × 103,515.81
  4. Step 4: Simplify right side
    184,089x = 26,297,603,560.70
  5. Step 5: Solve for x
    x = 26,297,603,560.70/184,089
  6. Step 6: Final answer
    x = 142,852.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.