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Finding the Fourth Proportional to 235,742.60, 353,225.10 and 202,305.80

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Solution

The fourth proportional to 235,742.60, 353,225.10 and 202,305.80 is: 303,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,742.60 : 353,225.10 = 202,305.80 : x
  2. Step 2: Convert to fraction form
    235,742.60/353,225.10 = 202,305.80/x
  3. Step 3: Cross multiply
    235,742.60x = 353,225.10 × 202,305.80
  4. Step 4: Simplify right side
    235,742.60x = 71,459,486,435.58
  5. Step 5: Solve for x
    x = 71,459,486,435.58/235,742.60
  6. Step 6: Final answer
    x = 303,125.05

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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.