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Finding the Fourth Proportional to 177,364.70, 266,046.35 and 52,705.70

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Solution

The fourth proportional to 177,364.70, 266,046.35 and 52,705.70 is: 79,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,364.70 : 266,046.35 = 52,705.70 : x
  2. Step 2: Convert to fraction form
    177,364.70/266,046.35 = 52,705.70/x
  3. Step 3: Cross multiply
    177,364.70x = 266,046.35 × 52,705.70
  4. Step 4: Simplify right side
    177,364.70x = 14,022,159,109.20
  5. Step 5: Solve for x
    x = 14,022,159,109.20/177,364.70
  6. Step 6: Final answer
    x = 79,058.34

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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.