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Finding the Fourth Proportional to 175,644.10, 242,329.36 and 114,362.31

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Solution

The fourth proportional to 175,644.10, 242,329.36 and 114,362.31 is: 157,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,644.10 : 242,329.36 = 114,362.31 : x
  2. Step 2: Convert to fraction form
    175,644.10/242,329.36 = 114,362.31/x
  3. Step 3: Cross multiply
    175,644.10x = 242,329.36 × 114,362.31
  4. Step 4: Simplify right side
    175,644.10x = 27,713,345,390.42
  5. Step 5: Solve for x
    x = 27,713,345,390.42/175,644.10
  6. Step 6: Final answer
    x = 157,781.25

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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.