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Finding the Fourth Proportional to 201,973.80, 302,960.70 and 152,401.80

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Solution

The fourth proportional to 201,973.80, 302,960.70 and 152,401.80 is: 228,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,973.80 : 302,960.70 = 152,401.80 : x
  2. Step 2: Convert to fraction form
    201,973.80/302,960.70 = 152,401.80/x
  3. Step 3: Cross multiply
    201,973.80x = 302,960.70 × 152,401.80
  4. Step 4: Simplify right side
    201,973.80x = 46,171,756,009.26
  5. Step 5: Solve for x
    x = 46,171,756,009.26/201,973.80
  6. Step 6: Final answer
    x = 228,602.70

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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.