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Finding the Fourth Proportional to 117,770.82, 176,549.32 and 42,837.99

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Solution

The fourth proportional to 117,770.82, 176,549.32 and 42,837.99 is: 64,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,770.82 : 176,549.32 = 42,837.99 : x
  2. Step 2: Convert to fraction form
    117,770.82/176,549.32 = 42,837.99/x
  3. Step 3: Cross multiply
    117,770.82x = 176,549.32 × 42,837.99
  4. Step 4: Simplify right side
    117,770.82x = 7,563,018,004.67
  5. Step 5: Solve for x
    x = 7,563,018,004.67/117,770.82
  6. Step 6: Final answer
    x = 64,218.10

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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.