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Finding the Fourth Proportional to 175,653.96, 242,435.30 and 100,202.46

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Solution

The fourth proportional to 175,653.96, 242,435.30 and 100,202.46 is: 138,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,653.96 : 242,435.30 = 100,202.46 : x
  2. Step 2: Convert to fraction form
    175,653.96/242,435.30 = 100,202.46/x
  3. Step 3: Cross multiply
    175,653.96x = 242,435.30 × 100,202.46
  4. Step 4: Simplify right side
    175,653.96x = 24,292,614,163.48
  5. Step 5: Solve for x
    x = 24,292,614,163.48/175,653.96
  6. Step 6: Final answer
    x = 138,298.13

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