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Finding the Fourth Proportional to 152,314.50, 209,818.44 and 129,580.68

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Solution

The fourth proportional to 152,314.50, 209,818.44 and 129,580.68 is: 178,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,314.50 : 209,818.44 = 129,580.68 : x
  2. Step 2: Convert to fraction form
    152,314.50/209,818.44 = 129,580.68/x
  3. Step 3: Cross multiply
    152,314.50x = 209,818.44 × 129,580.68
  4. Step 4: Simplify right side
    152,314.50x = 27,188,416,131.74
  5. Step 5: Solve for x
    x = 27,188,416,131.74/152,314.50
  6. Step 6: Final answer
    x = 178,501.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.