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Finding the Fourth Proportional to 104,099.16, 143,656.66 and 56,352.48

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Solution

The fourth proportional to 104,099.16, 143,656.66 and 56,352.48 is: 77,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,099.16 : 143,656.66 = 56,352.48 : x
  2. Step 2: Convert to fraction form
    104,099.16/143,656.66 = 56,352.48/x
  3. Step 3: Cross multiply
    104,099.16x = 143,656.66 × 56,352.48
  4. Step 4: Simplify right side
    104,099.16x = 8,095,409,059.52
  5. Step 5: Solve for x
    x = 8,095,409,059.52/104,099.16
  6. Step 6: Final answer
    x = 77,766.32

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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.