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Finding the Fourth Proportional to 178,065.49, 245,721.04 and 97,477.59

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Solution

The fourth proportional to 178,065.49, 245,721.04 and 97,477.59 is: 134,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,065.49 : 245,721.04 = 97,477.59 : x
  2. Step 2: Convert to fraction form
    178,065.49/245,721.04 = 97,477.59/x
  3. Step 3: Cross multiply
    178,065.49x = 245,721.04 × 97,477.59
  4. Step 4: Simplify right side
    178,065.49x = 23,952,294,791.49
  5. Step 5: Solve for x
    x = 23,952,294,791.49/178,065.49
  6. Step 6: Final answer
    x = 134,513.96

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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.