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Finding the Fourth Proportional to 162,752.64, 224,585.76 and 91,116

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Solution

The fourth proportional to 162,752.64, 224,585.76 and 91,116 is: 125,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,752.64 : 224,585.76 = 91,116 : x
  2. Step 2: Convert to fraction form
    162,752.64/224,585.76 = 91,116/x
  3. Step 3: Cross multiply
    162,752.64x = 224,585.76 × 91,116
  4. Step 4: Simplify right side
    162,752.64x = 20,463,356,108.16
  5. Step 5: Solve for x
    x = 20,463,356,108.16/162,752.64
  6. Step 6: Final answer
    x = 125,732.87

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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.