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Finding the Fourth Proportional to 104,254.54, 143,871.52 and 56,507.84

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Solution

The fourth proportional to 104,254.54, 143,871.52 and 56,507.84 is: 77,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,254.54 : 143,871.52 = 56,507.84 : x
  2. Step 2: Convert to fraction form
    104,254.54/143,871.52 = 56,507.84/x
  3. Step 3: Cross multiply
    104,254.54x = 143,871.52 × 56,507.84
  4. Step 4: Simplify right side
    104,254.54x = 8,129,868,832.72
  5. Step 5: Solve for x
    x = 8,129,868,832.72/104,254.54
  6. Step 6: Final answer
    x = 77,980.96

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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.