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Finding the Fourth Proportional to 201,671.70, 302,507.55 and 185,925.30

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Solution

The fourth proportional to 201,671.70, 302,507.55 and 185,925.30 is: 278,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,671.70 : 302,507.55 = 185,925.30 : x
  2. Step 2: Convert to fraction form
    201,671.70/302,507.55 = 185,925.30/x
  3. Step 3: Cross multiply
    201,671.70x = 302,507.55 × 185,925.30
  4. Step 4: Simplify right side
    201,671.70x = 56,243,806,986.02
  5. Step 5: Solve for x
    x = 56,243,806,986.02/201,671.70
  6. Step 6: Final answer
    x = 278,887.95

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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.