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Finding the Fourth Proportional to 175,655.69, 242,437.69 and 100,204.19

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Solution

The fourth proportional to 175,655.69, 242,437.69 and 100,204.19 is: 138,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,655.69 : 242,437.69 = 100,204.19 : x
  2. Step 2: Convert to fraction form
    175,655.69/242,437.69 = 100,204.19/x
  3. Step 3: Cross multiply
    175,655.69x = 242,437.69 × 100,204.19
  4. Step 4: Simplify right side
    175,655.69x = 24,293,272,351.92
  5. Step 5: Solve for x
    x = 24,293,272,351.92/175,655.69
  6. Step 6: Final answer
    x = 138,300.51

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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.