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Finding the Fourth Proportional to 242,164.83, 363,302.52 and 73,709.03

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Solution

The fourth proportional to 242,164.83, 363,302.52 and 73,709.03 is: 110,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,164.83 : 363,302.52 = 73,709.03 : x
  2. Step 2: Convert to fraction form
    242,164.83/363,302.52 = 73,709.03/x
  3. Step 3: Cross multiply
    242,164.83x = 363,302.52 × 73,709.03
  4. Step 4: Simplify right side
    242,164.83x = 26,778,676,345.76
  5. Step 5: Solve for x
    x = 26,778,676,345.76/242,164.83
  6. Step 6: Final answer
    x = 110,580.37

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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.