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Finding the Fourth Proportional to 110,314.10, 152,048.44 and 84,463.76

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Solution

The fourth proportional to 110,314.10, 152,048.44 and 84,463.76 is: 116,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,314.10 : 152,048.44 = 84,463.76 : x
  2. Step 2: Convert to fraction form
    110,314.10/152,048.44 = 84,463.76/x
  3. Step 3: Cross multiply
    110,314.10x = 152,048.44 × 84,463.76
  4. Step 4: Simplify right side
    110,314.10x = 12,842,583,430.24
  5. Step 5: Solve for x
    x = 12,842,583,430.24/110,314.10
  6. Step 6: Final answer
    x = 116,418.33

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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.