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Finding the Fourth Proportional to 242,559.74, 363,890.01 and 102,319.58

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Solution

The fourth proportional to 242,559.74, 363,890.01 and 102,319.58 is: 153,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,559.74 : 363,890.01 = 102,319.58 : x
  2. Step 2: Convert to fraction form
    242,559.74/363,890.01 = 102,319.58/x
  3. Step 3: Cross multiply
    242,559.74x = 363,890.01 × 102,319.58
  4. Step 4: Simplify right side
    242,559.74x = 37,233,072,989.40
  5. Step 5: Solve for x
    x = 37,233,072,989.40/242,559.74
  6. Step 6: Final answer
    x = 153,500.63

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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.