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Finding the Fourth Proportional to 301,862.38, 452,809.08 and 77,224.75

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Solution

The fourth proportional to 301,862.38, 452,809.08 and 77,224.75 is: 115,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,862.38 : 452,809.08 = 77,224.75 : x
  2. Step 2: Convert to fraction form
    301,862.38/452,809.08 = 77,224.75/x
  3. Step 3: Cross multiply
    301,862.38x = 452,809.08 × 77,224.75
  4. Step 4: Simplify right side
    301,862.38x = 34,968,069,126.17
  5. Step 5: Solve for x
    x = 34,968,069,126.17/301,862.38
  6. Step 6: Final answer
    x = 115,841.10

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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.