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Finding the Fourth Proportional to 104,192.64, 156,293.76 and 30,320.64

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Solution

The fourth proportional to 104,192.64, 156,293.76 and 30,320.64 is: 45,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,192.64 : 156,293.76 = 30,320.64 : x
  2. Step 2: Convert to fraction form
    104,192.64/156,293.76 = 30,320.64/x
  3. Step 3: Cross multiply
    104,192.64x = 156,293.76 × 30,320.64
  4. Step 4: Simplify right side
    104,192.64x = 4,738,926,831.21
  5. Step 5: Solve for x
    x = 4,738,926,831.21/104,192.64
  6. Step 6: Final answer
    x = 45,482.36

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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.