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Finding the Fourth Proportional to 102,392.64, 153,614.88 and 43,197.84

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Solution

The fourth proportional to 102,392.64, 153,614.88 and 43,197.84 is: 64,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.64 : 153,614.88 = 43,197.84 : x
  2. Step 2: Convert to fraction form
    102,392.64/153,614.88 = 43,197.84/x
  3. Step 3: Cross multiply
    102,392.64x = 153,614.88 × 43,197.84
  4. Step 4: Simplify right side
    102,392.64x = 6,635,831,007.86
  5. Step 5: Solve for x
    x = 6,635,831,007.86/102,392.64
  6. Step 6: Final answer
    x = 64,807.70

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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.