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Finding the Fourth Proportional to 185,922, 257,247.90 and 162,098.28

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Solution

The fourth proportional to 185,922, 257,247.90 and 162,098.28 is: 224,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,922 : 257,247.90 = 162,098.28 : x
  2. Step 2: Convert to fraction form
    185,922/257,247.90 = 162,098.28/x
  3. Step 3: Cross multiply
    185,922x = 257,247.90 × 162,098.28
  4. Step 4: Simplify right side
    185,922x = 41,699,442,123.61
  5. Step 5: Solve for x
    x = 41,699,442,123.61/185,922
  6. Step 6: Final answer
    x = 224,284.60

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1.5x scale

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.