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Finding the Fourth Proportional to 178,047.90, 245,705.67 and 97,474.71

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Solution

The fourth proportional to 178,047.90, 245,705.67 and 97,474.71 is: 134,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,047.90 : 245,705.67 = 97,474.71 : x
  2. Step 2: Convert to fraction form
    178,047.90/245,705.67 = 97,474.71/x
  3. Step 3: Cross multiply
    178,047.90x = 245,705.67 × 97,474.71
  4. Step 4: Simplify right side
    178,047.90x = 23,950,088,928.61
  5. Step 5: Solve for x
    x = 23,950,088,928.61/178,047.90
  6. Step 6: Final answer
    x = 134,514.86

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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.