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Finding the Fourth Proportional to 178,208.56, 245,934.59 and 101,740.11

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Solution

The fourth proportional to 178,208.56, 245,934.59 and 101,740.11 is: 140,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,208.56 : 245,934.59 = 101,740.11 : x
  2. Step 2: Convert to fraction form
    178,208.56/245,934.59 = 101,740.11/x
  3. Step 3: Cross multiply
    178,208.56x = 245,934.59 × 101,740.11
  4. Step 4: Simplify right side
    178,208.56x = 25,021,412,239.40
  5. Step 5: Solve for x
    x = 25,021,412,239.40/178,208.56
  6. Step 6: Final answer
    x = 140,405.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.