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Finding the Fourth Proportional to 158,078.19, 218,048.16 and 110,314.11

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Solution

The fourth proportional to 158,078.19, 218,048.16 and 110,314.11 is: 152,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,078.19 : 218,048.16 = 110,314.11 : x
  2. Step 2: Convert to fraction form
    158,078.19/218,048.16 = 110,314.11/x
  3. Step 3: Cross multiply
    158,078.19x = 218,048.16 × 110,314.11
  4. Step 4: Simplify right side
    158,078.19x = 24,053,788,707.54
  5. Step 5: Solve for x
    x = 24,053,788,707.54/158,078.19
  6. Step 6: Final answer
    x = 152,163.87

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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.