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Finding the Fourth Proportional to 242,165.33, 363,303.27 and 73,709.53

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Solution

The fourth proportional to 242,165.33, 363,303.27 and 73,709.53 is: 110,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,165.33 : 363,303.27 = 73,709.53 : x
  2. Step 2: Convert to fraction form
    242,165.33/363,303.27 = 73,709.53/x
  3. Step 3: Cross multiply
    242,165.33x = 363,303.27 × 73,709.53
  4. Step 4: Simplify right side
    242,165.33x = 26,778,913,279.16
  5. Step 5: Solve for x
    x = 26,778,913,279.16/242,165.33
  6. Step 6: Final answer
    x = 110,581.12

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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.