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Finding the Fourth Proportional to 418,158.86, 627,262.11 and 118,616.00

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Solution

The fourth proportional to 418,158.86, 627,262.11 and 118,616.00 is: 177,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,158.86 : 627,262.11 = 118,616.00 : x
  2. Step 2: Convert to fraction form
    418,158.86/627,262.11 = 118,616.00/x
  3. Step 3: Cross multiply
    418,158.86x = 627,262.11 × 118,616.00
  4. Step 4: Simplify right side
    418,158.86x = 74,403,319,303.45
  5. Step 5: Solve for x
    x = 74,403,319,303.45/418,158.86
  6. Step 6: Final answer
    x = 177,930.75

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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.