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Finding the Fourth Proportional to 301,515.48, 452,068.02 and 101,741.40

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Solution

The fourth proportional to 301,515.48, 452,068.02 and 101,741.40 is: 152,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,515.48 : 452,068.02 = 101,741.40 : x
  2. Step 2: Convert to fraction form
    301,515.48/452,068.02 = 101,741.40/x
  3. Step 3: Cross multiply
    301,515.48x = 452,068.02 × 101,741.40
  4. Step 4: Simplify right side
    301,515.48x = 45,994,033,250.03
  5. Step 5: Solve for x
    x = 45,994,033,250.03/301,515.48
  6. Step 6: Final answer
    x = 152,542.86

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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.