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Finding the Fourth Proportional to 176,286.86, 243,476.17 and 118,827.08

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Solution

The fourth proportional to 176,286.86, 243,476.17 and 118,827.08 is: 164,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,286.86 : 243,476.17 = 118,827.08 : x
  2. Step 2: Convert to fraction form
    176,286.86/243,476.17 = 118,827.08/x
  3. Step 3: Cross multiply
    176,286.86x = 243,476.17 × 118,827.08
  4. Step 4: Simplify right side
    176,286.86x = 28,931,562,939.37
  5. Step 5: Solve for x
    x = 28,931,562,939.37/176,286.86
  6. Step 6: Final answer
    x = 164,116.39

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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.