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Finding the Fourth Proportional to 201,776.60, 302,559.80 and 75,312.83

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Solution

The fourth proportional to 201,776.60, 302,559.80 and 75,312.83 is: 112,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,776.60 : 302,559.80 = 75,312.83 : x
  2. Step 2: Convert to fraction form
    201,776.60/302,559.80 = 75,312.83/x
  3. Step 3: Cross multiply
    201,776.60x = 302,559.80 × 75,312.83
  4. Step 4: Simplify right side
    201,776.60x = 22,786,634,405.67
  5. Step 5: Solve for x
    x = 22,786,634,405.67/201,776.60
  6. Step 6: Final answer
    x = 112,930.02

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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.