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Finding the Fourth Proportional to 152,395.80, 228,075.30 and 133,733.40

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Solution

The fourth proportional to 152,395.80, 228,075.30 and 133,733.40 is: 200,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,395.80 : 228,075.30 = 133,733.40 : x
  2. Step 2: Convert to fraction form
    152,395.80/228,075.30 = 133,733.40/x
  3. Step 3: Cross multiply
    152,395.80x = 228,075.30 × 133,733.40
  4. Step 4: Simplify right side
    152,395.80x = 30,501,285,325.02
  5. Step 5: Solve for x
    x = 30,501,285,325.02/152,395.80
  6. Step 6: Final answer
    x = 200,145.18

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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.