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Finding the Fourth Proportional to 235,646.35, 353,335.64 and 160,857.02

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Solution

The fourth proportional to 235,646.35, 353,335.64 and 160,857.02 is: 241,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,646.35 : 353,335.64 = 160,857.02 : x
  2. Step 2: Convert to fraction form
    235,646.35/353,335.64 = 160,857.02/x
  3. Step 3: Cross multiply
    235,646.35x = 353,335.64 × 160,857.02
  4. Step 4: Simplify right side
    235,646.35x = 56,836,518,189.25
  5. Step 5: Solve for x
    x = 56,836,518,189.25/235,646.35
  6. Step 6: Final answer
    x = 241,194.14

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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.