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Finding the Fourth Proportional to 291,353.64, 402,075.57 and 164,033.82

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Solution

The fourth proportional to 291,353.64, 402,075.57 and 164,033.82 is: 226,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,353.64 : 402,075.57 = 164,033.82 : x
  2. Step 2: Convert to fraction form
    291,353.64/402,075.57 = 164,033.82/x
  3. Step 3: Cross multiply
    291,353.64x = 402,075.57 × 164,033.82
  4. Step 4: Simplify right side
    291,353.64x = 65,953,991,675.78
  5. Step 5: Solve for x
    x = 65,953,991,675.78/291,353.64
  6. Step 6: Final answer
    x = 226,370.92

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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.