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Finding the Fourth Proportional to 184,094.51, 254,051.90 and 102,423.96

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Solution

The fourth proportional to 184,094.51, 254,051.90 and 102,423.96 is: 141,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,094.51 : 254,051.90 = 102,423.96 : x
  2. Step 2: Convert to fraction form
    184,094.51/254,051.90 = 102,423.96/x
  3. Step 3: Cross multiply
    184,094.51x = 254,051.90 × 102,423.96
  4. Step 4: Simplify right side
    184,094.51x = 26,021,001,515.49
  5. Step 5: Solve for x
    x = 26,021,001,515.49/184,094.51
  6. Step 6: Final answer
    x = 141,345.89

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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.