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Finding the Fourth Proportional to 158,041.56, 218,031.66 and 103,578.84

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Solution

The fourth proportional to 158,041.56, 218,031.66 and 103,578.84 is: 142,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,041.56 : 218,031.66 = 103,578.84 : x
  2. Step 2: Convert to fraction form
    158,041.56/218,031.66 = 103,578.84/x
  3. Step 3: Cross multiply
    158,041.56x = 218,031.66 × 103,578.84
  4. Step 4: Simplify right side
    158,041.56x = 22,583,466,426.07
  5. Step 5: Solve for x
    x = 22,583,466,426.07/158,041.56
  6. Step 6: Final answer
    x = 142,895.74

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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.