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Finding the Fourth Proportional to 201,333.35, 301,984.29 and 117,039.76

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Solution

The fourth proportional to 201,333.35, 301,984.29 and 117,039.76 is: 175,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,333.35 : 301,984.29 = 117,039.76 : x
  2. Step 2: Convert to fraction form
    201,333.35/301,984.29 = 117,039.76/x
  3. Step 3: Cross multiply
    201,333.35x = 301,984.29 × 117,039.76
  4. Step 4: Simplify right side
    201,333.35x = 35,344,168,070.41
  5. Step 5: Solve for x
    x = 35,344,168,070.41/201,333.35
  6. Step 6: Final answer
    x = 175,550.49

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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.