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Finding the Fourth Proportional to 162,538.06, 224,212.23 and 94,547.38

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Solution

The fourth proportional to 162,538.06, 224,212.23 and 94,547.38 is: 130,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,538.06 : 224,212.23 = 94,547.38 : x
  2. Step 2: Convert to fraction form
    162,538.06/224,212.23 = 94,547.38/x
  3. Step 3: Cross multiply
    162,538.06x = 224,212.23 × 94,547.38
  4. Step 4: Simplify right side
    162,538.06x = 21,198,678,910.46
  5. Step 5: Solve for x
    x = 21,198,678,910.46/162,538.06
  6. Step 6: Final answer
    x = 130,422.86

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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.