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Finding the Fourth Proportional to 178,248.04, 245,978.42 and 97,673.82

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Solution

The fourth proportional to 178,248.04, 245,978.42 and 97,673.82 is: 134,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,248.04 : 245,978.42 = 97,673.82 : x
  2. Step 2: Convert to fraction form
    178,248.04/245,978.42 = 97,673.82/x
  3. Step 3: Cross multiply
    178,248.04x = 245,978.42 × 97,673.82
  4. Step 4: Simplify right side
    178,248.04x = 24,025,651,918.96
  5. Step 5: Solve for x
    x = 24,025,651,918.96/178,248.04
  6. Step 6: Final answer
    x = 134,787.75

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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.