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Finding the Fourth Proportional to 232,411.20, 320,733.84 and 130,443

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Solution

The fourth proportional to 232,411.20, 320,733.84 and 130,443 is: 180,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,411.20 : 320,733.84 = 130,443 : x
  2. Step 2: Convert to fraction form
    232,411.20/320,733.84 = 130,443/x
  3. Step 3: Cross multiply
    232,411.20x = 320,733.84 × 130,443
  4. Step 4: Simplify right side
    232,411.20x = 41,837,484,291.12
  5. Step 5: Solve for x
    x = 41,837,484,291.12/232,411.20
  6. Step 6: Final answer
    x = 180,014.92

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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.