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Finding the Fourth Proportional to 117,435.94, 176,153.43 and 42,538.55

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Solution

The fourth proportional to 117,435.94, 176,153.43 and 42,538.55 is: 63,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,435.94 : 176,153.43 = 42,538.55 : x
  2. Step 2: Convert to fraction form
    117,435.94/176,153.43 = 42,538.55/x
  3. Step 3: Cross multiply
    117,435.94x = 176,153.43 × 42,538.55
  4. Step 4: Simplify right side
    117,435.94x = 7,493,312,502.49
  5. Step 5: Solve for x
    x = 7,493,312,502.49/117,435.94
  6. Step 6: Final answer
    x = 63,807.66

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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.