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Finding the Fourth Proportional to 106,411.60, 159,617.40 and 104,856.40

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Solution

The fourth proportional to 106,411.60, 159,617.40 and 104,856.40 is: 157,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,411.60 : 159,617.40 = 104,856.40 : x
  2. Step 2: Convert to fraction form
    106,411.60/159,617.40 = 104,856.40/x
  3. Step 3: Cross multiply
    106,411.60x = 159,617.40 × 104,856.40
  4. Step 4: Simplify right side
    106,411.60x = 16,736,905,941.36
  5. Step 5: Solve for x
    x = 16,736,905,941.36/106,411.60
  6. Step 6: Final answer
    x = 157,284.60

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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.