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Finding the Fourth Proportional to 232,567.60, 320,943.36 and 130,578.88

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Solution

The fourth proportional to 232,567.60, 320,943.36 and 130,578.88 is: 180,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,567.60 : 320,943.36 = 130,578.88 : x
  2. Step 2: Convert to fraction form
    232,567.60/320,943.36 = 130,578.88/x
  3. Step 3: Cross multiply
    232,567.60x = 320,943.36 × 130,578.88
  4. Step 4: Simplify right side
    232,567.60x = 41,908,424,492.24
  5. Step 5: Solve for x
    x = 41,908,424,492.24/232,567.60
  6. Step 6: Final answer
    x = 180,198.89

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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.