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Finding the Fourth Proportional to 121,176, 181,780.56 and 42,278.64

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Solution

The fourth proportional to 121,176, 181,780.56 and 42,278.64 is: 63,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,176 : 181,780.56 = 42,278.64 : x
  2. Step 2: Convert to fraction form
    121,176/181,780.56 = 42,278.64/x
  3. Step 3: Cross multiply
    121,176x = 181,780.56 × 42,278.64
  4. Step 4: Simplify right side
    121,176x = 7,685,434,855.24
  5. Step 5: Solve for x
    x = 7,685,434,855.24/121,176
  6. Step 6: Final answer
    x = 63,423.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.