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Finding the Fourth Proportional to 176,938.32, 265,405.86 and 71,732.28

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Solution

The fourth proportional to 176,938.32, 265,405.86 and 71,732.28 is: 107,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,938.32 : 265,405.86 = 71,732.28 : x
  2. Step 2: Convert to fraction form
    176,938.32/265,405.86 = 71,732.28/x
  3. Step 3: Cross multiply
    176,938.32x = 265,405.86 × 71,732.28
  4. Step 4: Simplify right side
    176,938.32x = 19,038,167,463.16
  5. Step 5: Solve for x
    x = 19,038,167,463.16/176,938.32
  6. Step 6: Final answer
    x = 107,597.76

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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.