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Finding the Fourth Proportional to 114,506.96, 157,994.52 and 110,731.28

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Solution

The fourth proportional to 114,506.96, 157,994.52 and 110,731.28 is: 152,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,506.96 : 157,994.52 = 110,731.28 : x
  2. Step 2: Convert to fraction form
    114,506.96/157,994.52 = 110,731.28/x
  3. Step 3: Cross multiply
    114,506.96x = 157,994.52 × 110,731.28
  4. Step 4: Simplify right side
    114,506.96x = 17,494,935,432.59
  5. Step 5: Solve for x
    x = 17,494,935,432.59/114,506.96
  6. Step 6: Final answer
    x = 152,784.91

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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.