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Finding the Fourth Proportional to 106,544.40, 160,205.40 and 89,437.20

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Solution

The fourth proportional to 106,544.40, 160,205.40 and 89,437.20 is: 134,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,544.40 : 160,205.40 = 89,437.20 : x
  2. Step 2: Convert to fraction form
    106,544.40/160,205.40 = 89,437.20/x
  3. Step 3: Cross multiply
    106,544.40x = 160,205.40 × 89,437.20
  4. Step 4: Simplify right side
    106,544.40x = 14,328,322,400.88
  5. Step 5: Solve for x
    x = 14,328,322,400.88/106,544.40
  6. Step 6: Final answer
    x = 134,482.17

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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.