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Finding the Fourth Proportional to 357,031.29, 535,548.78 and 120,376.02

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Solution

The fourth proportional to 357,031.29, 535,548.78 and 120,376.02 is: 180,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,031.29 : 535,548.78 = 120,376.02 : x
  2. Step 2: Convert to fraction form
    357,031.29/535,548.78 = 120,376.02/x
  3. Step 3: Cross multiply
    357,031.29x = 535,548.78 × 120,376.02
  4. Step 4: Simplify right side
    357,031.29x = 64,467,230,652.26
  5. Step 5: Solve for x
    x = 64,467,230,652.26/357,031.29
  6. Step 6: Final answer
    x = 180,564.65

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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.