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Finding the Fourth Proportional to 177,156.16, 265,688.82 and 52,468

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Solution

The fourth proportional to 177,156.16, 265,688.82 and 52,468 is: 78,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,156.16 : 265,688.82 = 52,468 : x
  2. Step 2: Convert to fraction form
    177,156.16/265,688.82 = 52,468/x
  3. Step 3: Cross multiply
    177,156.16x = 265,688.82 × 52,468
  4. Step 4: Simplify right side
    177,156.16x = 13,940,161,007.76
  5. Step 5: Solve for x
    x = 13,940,161,007.76/177,156.16
  6. Step 6: Final answer
    x = 78,688.55

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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.