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Finding the Fourth Proportional to 195,106.89, 292,482.84 and 75,087.30

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Solution

The fourth proportional to 195,106.89, 292,482.84 and 75,087.30 is: 112,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,106.89 : 292,482.84 = 75,087.30 : x
  2. Step 2: Convert to fraction form
    195,106.89/292,482.84 = 75,087.30/x
  3. Step 3: Cross multiply
    195,106.89x = 292,482.84 × 75,087.30
  4. Step 4: Simplify right side
    195,106.89x = 21,961,746,751.93
  5. Step 5: Solve for x
    x = 21,961,746,751.93/195,106.89
  6. Step 6: Final answer
    x = 112,562.64

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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.