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Finding the Fourth Proportional to 176,196, 243,352.31 and 116,035.55

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Solution

The fourth proportional to 176,196, 243,352.31 and 116,035.55 is: 160,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,196 : 243,352.31 = 116,035.55 : x
  2. Step 2: Convert to fraction form
    176,196/243,352.31 = 116,035.55/x
  3. Step 3: Cross multiply
    176,196x = 243,352.31 × 116,035.55
  4. Step 4: Simplify right side
    176,196x = 28,237,517,337.68
  5. Step 5: Solve for x
    x = 28,237,517,337.68/176,196
  6. Step 6: Final answer
    x = 160,261.97

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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.