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Finding the Fourth Proportional to 267,075.60, 399,965.40 and 142,141.20

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Solution

The fourth proportional to 267,075.60, 399,965.40 and 142,141.20 is: 212,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,075.60 : 399,965.40 = 142,141.20 : x
  2. Step 2: Convert to fraction form
    267,075.60/399,965.40 = 142,141.20/x
  3. Step 3: Cross multiply
    267,075.60x = 399,965.40 × 142,141.20
  4. Step 4: Simplify right side
    267,075.60x = 56,851,561,914.48
  5. Step 5: Solve for x
    x = 56,851,561,914.48/267,075.60
  6. Step 6: Final answer
    x = 212,866.93

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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.