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Finding the Fourth Proportional to 86,354, 119,220.36 and 56,597.84

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Solution

The fourth proportional to 86,354, 119,220.36 and 56,597.84 is: 78,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,354 : 119,220.36 = 56,597.84 : x
  2. Step 2: Convert to fraction form
    86,354/119,220.36 = 56,597.84/x
  3. Step 3: Cross multiply
    86,354x = 119,220.36 × 56,597.84
  4. Step 4: Simplify right side
    86,354x = 6,747,614,860.02
  5. Step 5: Solve for x
    x = 6,747,614,860.02/86,354
  6. Step 6: Final answer
    x = 78,139.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.