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Finding the Fourth Proportional to 201,870.60, 302,477.85 and 173,658.30

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Solution

The fourth proportional to 201,870.60, 302,477.85 and 173,658.30 is: 260,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870.60 : 302,477.85 = 173,658.30 : x
  2. Step 2: Convert to fraction form
    201,870.60/302,477.85 = 173,658.30/x
  3. Step 3: Cross multiply
    201,870.60x = 302,477.85 × 173,658.30
  4. Step 4: Simplify right side
    201,870.60x = 52,527,789,218.66
  5. Step 5: Solve for x
    x = 52,527,789,218.66/201,870.60
  6. Step 6: Final answer
    x = 260,205.25

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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.