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Finding the Fourth Proportional to 214,752.69, 296,359.29 and 119,259.45

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Solution

The fourth proportional to 214,752.69, 296,359.29 and 119,259.45 is: 164,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,752.69 : 296,359.29 = 119,259.45 : x
  2. Step 2: Convert to fraction form
    214,752.69/296,359.29 = 119,259.45/x
  3. Step 3: Cross multiply
    214,752.69x = 296,359.29 × 119,259.45
  4. Step 4: Simplify right side
    214,752.69x = 35,343,645,927.79
  5. Step 5: Solve for x
    x = 35,343,645,927.79/214,752.69
  6. Step 6: Final answer
    x = 164,578.36

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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.