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Finding the Fourth Proportional to 235,349.32, 353,020.95 and 57,857.86

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Solution

The fourth proportional to 235,349.32, 353,020.95 and 57,857.86 is: 86,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,349.32 : 353,020.95 = 57,857.86 : x
  2. Step 2: Convert to fraction form
    235,349.32/353,020.95 = 57,857.86/x
  3. Step 3: Cross multiply
    235,349.32x = 353,020.95 × 57,857.86
  4. Step 4: Simplify right side
    235,349.32x = 20,425,036,702.17
  5. Step 5: Solve for x
    x = 20,425,036,702.17/235,349.32
  6. Step 6: Final answer
    x = 86,786.05

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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.