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Finding the Fourth Proportional to 104,409.64, 144,086.36 and 56,663.40

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Solution

The fourth proportional to 104,409.64, 144,086.36 and 56,663.40 is: 78,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,409.64 : 144,086.36 = 56,663.40 : x
  2. Step 2: Convert to fraction form
    104,409.64/144,086.36 = 56,663.40/x
  3. Step 3: Cross multiply
    104,409.64x = 144,086.36 × 56,663.40
  4. Step 4: Simplify right side
    104,409.64x = 8,164,423,051.22
  5. Step 5: Solve for x
    x = 8,164,423,051.22/104,409.64
  6. Step 6: Final answer
    x = 78,196.07

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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.