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Finding the Fourth Proportional to 201,810.90, 303,007.95 and 152,238.90

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Solution

The fourth proportional to 201,810.90, 303,007.95 and 152,238.90 is: 228,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810.90 : 303,007.95 = 152,238.90 : x
  2. Step 2: Convert to fraction form
    201,810.90/303,007.95 = 152,238.90/x
  3. Step 3: Cross multiply
    201,810.90x = 303,007.95 × 152,238.90
  4. Step 4: Simplify right side
    201,810.90x = 46,129,596,999.26
  5. Step 5: Solve for x
    x = 46,129,596,999.26/201,810.90
  6. Step 6: Final answer
    x = 228,578.32

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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.