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Finding the Fourth Proportional to 201,762.40, 302,935.20 and 152,190.40

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Solution

The fourth proportional to 201,762.40, 302,935.20 and 152,190.40 is: 228,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.40 : 302,935.20 = 152,190.40 : x
  2. Step 2: Convert to fraction form
    201,762.40/302,935.20 = 152,190.40/x
  3. Step 3: Cross multiply
    201,762.40x = 302,935.20 × 152,190.40
  4. Step 4: Simplify right side
    201,762.40x = 46,103,829,262.08
  5. Step 5: Solve for x
    x = 46,103,829,262.08/201,762.40
  6. Step 6: Final answer
    x = 228,505.56

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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.