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Finding the Fourth Proportional to 164,473.34, 226,978.70 and 100,798.83

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Solution

The fourth proportional to 164,473.34, 226,978.70 and 100,798.83 is: 139,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,473.34 : 226,978.70 = 100,798.83 : x
  2. Step 2: Convert to fraction form
    164,473.34/226,978.70 = 100,798.83/x
  3. Step 3: Cross multiply
    164,473.34x = 226,978.70 × 100,798.83
  4. Step 4: Simplify right side
    164,473.34x = 22,879,186,890.93
  5. Step 5: Solve for x
    x = 22,879,186,890.93/164,473.34
  6. Step 6: Final answer
    x = 139,105.75

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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.