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Finding the Fourth Proportional to 106,820.30, 160,230.45 and 44,482.70

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Solution

The fourth proportional to 106,820.30, 160,230.45 and 44,482.70 is: 66,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820.30 : 160,230.45 = 44,482.70 : x
  2. Step 2: Convert to fraction form
    106,820.30/160,230.45 = 44,482.70/x
  3. Step 3: Cross multiply
    106,820.30x = 160,230.45 × 44,482.70
  4. Step 4: Simplify right side
    106,820.30x = 7,127,483,038.22
  5. Step 5: Solve for x
    x = 7,127,483,038.22/106,820.30
  6. Step 6: Final answer
    x = 66,724.05

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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.