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Finding the Fourth Proportional to 301,813.80, 452,720.70 and 102,140.70

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Solution

The fourth proportional to 301,813.80, 452,720.70 and 102,140.70 is: 153,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,813.80 : 452,720.70 = 102,140.70 : x
  2. Step 2: Convert to fraction form
    301,813.80/452,720.70 = 102,140.70/x
  3. Step 3: Cross multiply
    301,813.80x = 452,720.70 × 102,140.70
  4. Step 4: Simplify right side
    301,813.80x = 46,241,209,202.49
  5. Step 5: Solve for x
    x = 46,241,209,202.49/301,813.80
  6. Step 6: Final answer
    x = 153,211.05

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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.