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Finding the Fourth Proportional to 114,506.10, 157,905.86 and 105,454.94

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Solution

The fourth proportional to 114,506.10, 157,905.86 and 105,454.94 is: 145,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,506.10 : 157,905.86 = 105,454.94 : x
  2. Step 2: Convert to fraction form
    114,506.10/157,905.86 = 105,454.94/x
  3. Step 3: Cross multiply
    114,506.10x = 157,905.86 × 105,454.94
  4. Step 4: Simplify right side
    114,506.10x = 16,651,951,675.14
  5. Step 5: Solve for x
    x = 16,651,951,675.14/114,506.10
  6. Step 6: Final answer
    x = 145,424.14

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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.