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Finding the Fourth Proportional to 188,482.44, 282,649.85 and 70,089.20

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Solution

The fourth proportional to 188,482.44, 282,649.85 and 70,089.20 is: 105,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,482.44 : 282,649.85 = 70,089.20 : x
  2. Step 2: Convert to fraction form
    188,482.44/282,649.85 = 70,089.20/x
  3. Step 3: Cross multiply
    188,482.44x = 282,649.85 × 70,089.20
  4. Step 4: Simplify right side
    188,482.44x = 19,810,700,102.92
  5. Step 5: Solve for x
    x = 19,810,700,102.92/188,482.44
  6. Step 6: Final answer
    x = 105,106.34

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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.