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Finding the Fourth Proportional to 358,714.48, 537,884.86 and 133,890

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Solution

The fourth proportional to 358,714.48, 537,884.86 and 133,890 is: 200,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,714.48 : 537,884.86 = 133,890 : x
  2. Step 2: Convert to fraction form
    358,714.48/537,884.86 = 133,890/x
  3. Step 3: Cross multiply
    358,714.48x = 537,884.86 × 133,890
  4. Step 4: Simplify right side
    358,714.48x = 72,017,403,905.40
  5. Step 5: Solve for x
    x = 72,017,403,905.40/358,714.48
  6. Step 6: Final answer
    x = 200,765.25

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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.