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Finding the Fourth Proportional to 145,967.57, 218,847.54 and 55,934.00

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Solution

The fourth proportional to 145,967.57, 218,847.54 and 55,934.00 is: 83,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,967.57 : 218,847.54 = 55,934.00 : x
  2. Step 2: Convert to fraction form
    145,967.57/218,847.54 = 55,934.00/x
  3. Step 3: Cross multiply
    145,967.57x = 218,847.54 × 55,934.00
  4. Step 4: Simplify right side
    145,967.57x = 12,241,017,208.12
  5. Step 5: Solve for x
    x = 12,241,017,208.12/145,967.57
  6. Step 6: Final answer
    x = 83,861.21

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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.