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Finding the Fourth Proportional to 98,504.87, 135,941.96 and 56,077.07

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Solution

The fourth proportional to 98,504.87, 135,941.96 and 56,077.07 is: 77,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,504.87 : 135,941.96 = 56,077.07 : x
  2. Step 2: Convert to fraction form
    98,504.87/135,941.96 = 56,077.07/x
  3. Step 3: Cross multiply
    98,504.87x = 135,941.96 × 56,077.07
  4. Step 4: Simplify right side
    98,504.87x = 7,623,226,267.34
  5. Step 5: Solve for x
    x = 7,623,226,267.34/98,504.87
  6. Step 6: Final answer
    x = 77,389.34

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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.