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Finding the Fourth Proportional to 117,672.86, 176,453.84 and 42,740.16

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Solution

The fourth proportional to 117,672.86, 176,453.84 and 42,740.16 is: 64,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,672.86 : 176,453.84 = 42,740.16 : x
  2. Step 2: Convert to fraction form
    117,672.86/176,453.84 = 42,740.16/x
  3. Step 3: Cross multiply
    117,672.86x = 176,453.84 × 42,740.16
  4. Step 4: Simplify right side
    117,672.86x = 7,541,665,461.06
  5. Step 5: Solve for x
    x = 7,541,665,461.06/117,672.86
  6. Step 6: Final answer
    x = 64,090.10

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Why These Related Problems?

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