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Finding the Fourth Proportional to 201,695.40, 302,543.10 and 185,106.60

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Solution

The fourth proportional to 201,695.40, 302,543.10 and 185,106.60 is: 277,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,695.40 : 302,543.10 = 185,106.60 : x
  2. Step 2: Convert to fraction form
    201,695.40/302,543.10 = 185,106.60/x
  3. Step 3: Cross multiply
    201,695.40x = 302,543.10 × 185,106.60
  4. Step 4: Simplify right side
    201,695.40x = 56,002,724,594.46
  5. Step 5: Solve for x
    x = 56,002,724,594.46/201,695.40
  6. Step 6: Final answer
    x = 277,659.90

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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.