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Finding the Fourth Proportional to 176,178.38, 243,123.54 and 103,589.47

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Solution

The fourth proportional to 176,178.38, 243,123.54 and 103,589.47 is: 142,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,178.38 : 243,123.54 = 103,589.47 : x
  2. Step 2: Convert to fraction form
    176,178.38/243,123.54 = 103,589.47/x
  3. Step 3: Cross multiply
    176,178.38x = 243,123.54 × 103,589.47
  4. Step 4: Simplify right side
    176,178.38x = 25,185,038,653.12
  5. Step 5: Solve for x
    x = 25,185,038,653.12/176,178.38
  6. Step 6: Final answer
    x = 142,951.93

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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.