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Finding the Fourth Proportional to 104,624.88, 144,376.81 and 56,878.01

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Solution

The fourth proportional to 104,624.88, 144,376.81 and 56,878.01 is: 78,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,624.88 : 144,376.81 = 56,878.01 : x
  2. Step 2: Convert to fraction form
    104,624.88/144,376.81 = 56,878.01/x
  3. Step 3: Cross multiply
    104,624.88x = 144,376.81 × 56,878.01
  4. Step 4: Simplify right side
    104,624.88x = 8,211,865,320.28
  5. Step 5: Solve for x
    x = 8,211,865,320.28/104,624.88
  6. Step 6: Final answer
    x = 78,488.65

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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.