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Finding the Fourth Proportional to 145,848.96, 218,805.54 and 44,647.82

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Solution

The fourth proportional to 145,848.96, 218,805.54 and 44,647.82 is: 66,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,848.96 : 218,805.54 = 44,647.82 : x
  2. Step 2: Convert to fraction form
    145,848.96/218,805.54 = 44,647.82/x
  3. Step 3: Cross multiply
    145,848.96x = 218,805.54 × 44,647.82
  4. Step 4: Simplify right side
    145,848.96x = 9,769,189,270.90
  5. Step 5: Solve for x
    x = 9,769,189,270.90/145,848.96
  6. Step 6: Final answer
    x = 66,981.55

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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.