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Finding the Fourth Proportional to 357,184.60, 535,404.30 and 120,445.96

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Solution

The fourth proportional to 357,184.60, 535,404.30 and 120,445.96 is: 180,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,184.60 : 535,404.30 = 120,445.96 : x
  2. Step 2: Convert to fraction form
    357,184.60/535,404.30 = 120,445.96/x
  3. Step 3: Cross multiply
    357,184.60x = 535,404.30 × 120,445.96
  4. Step 4: Simplify right side
    357,184.60x = 64,487,284,901.63
  5. Step 5: Solve for x
    x = 64,487,284,901.63/357,184.60
  6. Step 6: Final answer
    x = 180,543.30

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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.