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Finding the Fourth Proportional to 162,784, 224,649.16 and 91,162.48

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Solution

The fourth proportional to 162,784, 224,649.16 and 91,162.48 is: 125,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,784 : 224,649.16 = 91,162.48 : x
  2. Step 2: Convert to fraction form
    162,784/224,649.16 = 91,162.48/x
  3. Step 3: Cross multiply
    162,784x = 224,649.16 × 91,162.48
  4. Step 4: Simplify right side
    162,784x = 20,479,574,555.52
  5. Step 5: Solve for x
    x = 20,479,574,555.52/162,784
  6. Step 6: Final answer
    x = 125,808.28

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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.