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Finding the Fourth Proportional to 104,465.81, 144,165.74 and 56,722.25

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Solution

The fourth proportional to 104,465.81, 144,165.74 and 56,722.25 is: 78,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,465.81 : 144,165.74 = 56,722.25 : x
  2. Step 2: Convert to fraction form
    104,465.81/144,165.74 = 56,722.25/x
  3. Step 3: Cross multiply
    104,465.81x = 144,165.74 × 56,722.25
  4. Step 4: Simplify right side
    104,465.81x = 8,177,404,141.28
  5. Step 5: Solve for x
    x = 8,177,404,141.28/104,465.81
  6. Step 6: Final answer
    x = 78,278.29

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1.5x scale

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.