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Finding the Fourth Proportional to 102,164, 153,297.84 and 46,773.92

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Solution

The fourth proportional to 102,164, 153,297.84 and 46,773.92 is: 70,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164 : 153,297.84 = 46,773.92 : x
  2. Step 2: Convert to fraction form
    102,164/153,297.84 = 46,773.92/x
  3. Step 3: Cross multiply
    102,164x = 153,297.84 × 46,773.92
  4. Step 4: Simplify right side
    102,164x = 7,170,340,904.33
  5. Step 5: Solve for x
    x = 7,170,340,904.33/102,164
  6. Step 6: Final answer
    x = 70,184.61

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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.