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Finding the Fourth Proportional to 178,058.72, 245,711.34 and 97,470.67

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Solution

The fourth proportional to 178,058.72, 245,711.34 and 97,470.67 is: 134,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,058.72 : 245,711.34 = 97,470.67 : x
  2. Step 2: Convert to fraction form
    178,058.72/245,711.34 = 97,470.67/x
  3. Step 3: Cross multiply
    178,058.72x = 245,711.34 × 97,470.67
  4. Step 4: Simplify right side
    178,058.72x = 23,949,648,322.12
  5. Step 5: Solve for x
    x = 23,949,648,322.12/178,058.72
  6. Step 6: Final answer
    x = 134,504.22

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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.