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Finding the Fourth Proportional to 177,257.86, 265,938.63 and 52,602.10

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Solution

The fourth proportional to 177,257.86, 265,938.63 and 52,602.10 is: 78,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,257.86 : 265,938.63 = 52,602.10 : x
  2. Step 2: Convert to fraction form
    177,257.86/265,938.63 = 52,602.10/x
  3. Step 3: Cross multiply
    177,257.86x = 265,938.63 × 52,602.10
  4. Step 4: Simplify right side
    177,257.86x = 13,988,930,409.12
  5. Step 5: Solve for x
    x = 13,988,930,409.12/177,257.86
  6. Step 6: Final answer
    x = 78,918.53

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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.