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Finding the Fourth Proportional to 357,031.04, 535,548.40 and 120,375.77

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Solution

The fourth proportional to 357,031.04, 535,548.40 and 120,375.77 is: 180,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,031.04 : 535,548.40 = 120,375.77 : x
  2. Step 2: Convert to fraction form
    357,031.04/535,548.40 = 120,375.77/x
  3. Step 3: Cross multiply
    357,031.04x = 535,548.40 × 120,375.77
  4. Step 4: Simplify right side
    357,031.04x = 64,467,051,022.27
  5. Step 5: Solve for x
    x = 64,467,051,022.27/357,031.04
  6. Step 6: Final answer
    x = 180,564.28

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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.