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Finding the Fourth Proportional to 177,189.50, 265,828 and 52,530.50

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Solution

The fourth proportional to 177,189.50, 265,828 and 52,530.50 is: 78,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,189.50 : 265,828 = 52,530.50 : x
  2. Step 2: Convert to fraction form
    177,189.50/265,828 = 52,530.50/x
  3. Step 3: Cross multiply
    177,189.50x = 265,828 × 52,530.50
  4. Step 4: Simplify right side
    177,189.50x = 13,964,077,754
  5. Step 5: Solve for x
    x = 13,964,077,754/177,189.50
  6. Step 6: Final answer
    x = 78,808.72

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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.