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Finding the Fourth Proportional to 145,825.36, 201,212.04 and 85,392.88

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Solution

The fourth proportional to 145,825.36, 201,212.04 and 85,392.88 is: 117,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,825.36 : 201,212.04 = 85,392.88 : x
  2. Step 2: Convert to fraction form
    145,825.36/201,212.04 = 85,392.88/x
  3. Step 3: Cross multiply
    145,825.36x = 201,212.04 × 85,392.88
  4. Step 4: Simplify right side
    145,825.36x = 17,182,075,586.28
  5. Step 5: Solve for x
    x = 17,182,075,586.28/145,825.36
  6. Step 6: Final answer
    x = 117,826.39

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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.