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Finding the Fourth Proportional to 243,893.61, 365,875.65 and 75,427.83

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Solution

The fourth proportional to 243,893.61, 365,875.65 and 75,427.83 is: 113,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,893.61 : 365,875.65 = 75,427.83 : x
  2. Step 2: Convert to fraction form
    243,893.61/365,875.65 = 75,427.83/x
  3. Step 3: Cross multiply
    243,893.61x = 365,875.65 × 75,427.83
  4. Step 4: Simplify right side
    243,893.61x = 27,597,206,329.34
  5. Step 5: Solve for x
    x = 27,597,206,329.34/243,893.61
  6. Step 6: Final answer
    x = 113,152.64

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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.