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Finding the Fourth Proportional to 282,172.80, 389,412.64 and 154,847.36

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Solution

The fourth proportional to 282,172.80, 389,412.64 and 154,847.36 is: 213,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,172.80 : 389,412.64 = 154,847.36 : x
  2. Step 2: Convert to fraction form
    282,172.80/389,412.64 = 154,847.36/x
  3. Step 3: Cross multiply
    282,172.80x = 389,412.64 × 154,847.36
  4. Step 4: Simplify right side
    282,172.80x = 60,299,519,254.63
  5. Step 5: Solve for x
    x = 60,299,519,254.63/282,172.80
  6. Step 6: Final answer
    x = 213,697.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.