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Finding the Fourth Proportional to 104,532.88, 144,256.40 and 56,787.16

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Solution

The fourth proportional to 104,532.88, 144,256.40 and 56,787.16 is: 78,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,532.88 : 144,256.40 = 56,787.16 : x
  2. Step 2: Convert to fraction form
    104,532.88/144,256.40 = 56,787.16/x
  3. Step 3: Cross multiply
    104,532.88x = 144,256.40 × 56,787.16
  4. Step 4: Simplify right side
    104,532.88x = 8,191,911,267.82
  5. Step 5: Solve for x
    x = 8,191,911,267.82/104,532.88
  6. Step 6: Final answer
    x = 78,366.84

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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.