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Finding the Fourth Proportional to 301,862.50, 452,809.25 and 77,224.88

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Solution

The fourth proportional to 301,862.50, 452,809.25 and 77,224.88 is: 115,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,862.50 : 452,809.25 = 77,224.88 : x
  2. Step 2: Convert to fraction form
    301,862.50/452,809.25 = 77,224.88/x
  3. Step 3: Cross multiply
    301,862.50x = 452,809.25 × 77,224.88
  4. Step 4: Simplify right side
    301,862.50x = 34,968,137,730.09
  5. Step 5: Solve for x
    x = 34,968,137,730.09/301,862.50
  6. Step 6: Final answer
    x = 115,841.28

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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.