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Finding the Fourth Proportional to 301,862.76, 452,809.64 and 77,225.13

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Solution

The fourth proportional to 301,862.76, 452,809.64 and 77,225.13 is: 115,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,862.76 : 452,809.64 = 77,225.13 : x
  2. Step 2: Convert to fraction form
    301,862.76/452,809.64 = 77,225.13/x
  3. Step 3: Cross multiply
    301,862.76x = 452,809.64 × 77,225.13
  4. Step 4: Simplify right side
    301,862.76x = 34,968,283,072.92
  5. Step 5: Solve for x
    x = 34,968,283,072.92/301,862.76
  6. Step 6: Final answer
    x = 115,841.66

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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.