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Finding the Fourth Proportional to 109,482.40, 163,916.40 and 106,410.40

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Solution

The fourth proportional to 109,482.40, 163,916.40 and 106,410.40 is: 159,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,482.40 : 163,916.40 = 106,410.40 : x
  2. Step 2: Convert to fraction form
    109,482.40/163,916.40 = 106,410.40/x
  3. Step 3: Cross multiply
    109,482.40x = 163,916.40 × 106,410.40
  4. Step 4: Simplify right side
    109,482.40x = 17,442,409,690.56
  5. Step 5: Solve for x
    x = 17,442,409,690.56/109,482.40
  6. Step 6: Final answer
    x = 159,317.02

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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.