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Finding the Fourth Proportional to 177,178.66, 265,722.63 and 52,490.50

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Solution

The fourth proportional to 177,178.66, 265,722.63 and 52,490.50 is: 78,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,178.66 : 265,722.63 = 52,490.50 : x
  2. Step 2: Convert to fraction form
    177,178.66/265,722.63 = 52,490.50/x
  3. Step 3: Cross multiply
    177,178.66x = 265,722.63 × 52,490.50
  4. Step 4: Simplify right side
    177,178.66x = 13,947,913,710.02
  5. Step 5: Solve for x
    x = 13,947,913,710.02/177,178.66
  6. Step 6: Final answer
    x = 78,722.31

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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.