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Finding the Fourth Proportional to 162,769, 244,155.02 and 57,605.80

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Solution

The fourth proportional to 162,769, 244,155.02 and 57,605.80 is: 86,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,769 : 244,155.02 = 57,605.80 : x
  2. Step 2: Convert to fraction form
    162,769/244,155.02 = 57,605.80/x
  3. Step 3: Cross multiply
    162,769x = 244,155.02 × 57,605.80
  4. Step 4: Simplify right side
    162,769x = 14,064,745,251.12
  5. Step 5: Solve for x
    x = 14,064,745,251.12/162,769
  6. Step 6: Final answer
    x = 86,409.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.