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Finding the Fourth Proportional to 177,148, 265,765.74 and 52,489

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Solution

The fourth proportional to 177,148, 265,765.74 and 52,489 is: 78,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,148 : 265,765.74 = 52,489 : x
  2. Step 2: Convert to fraction form
    177,148/265,765.74 = 52,489/x
  3. Step 3: Cross multiply
    177,148x = 265,765.74 × 52,489
  4. Step 4: Simplify right side
    177,148x = 13,949,777,926.86
  5. Step 5: Solve for x
    x = 13,949,777,926.86/177,148
  6. Step 6: Final answer
    x = 78,746.46

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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.