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Finding the Fourth Proportional to 214,495.19, 296,007.16 and 117,703.81

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Solution

The fourth proportional to 214,495.19, 296,007.16 and 117,703.81 is: 162,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,495.19 : 296,007.16 = 117,703.81 : x
  2. Step 2: Convert to fraction form
    214,495.19/296,007.16 = 117,703.81/x
  3. Step 3: Cross multiply
    214,495.19x = 296,007.16 × 117,703.81
  4. Step 4: Simplify right side
    214,495.19x = 34,841,169,983.20
  5. Step 5: Solve for x
    x = 34,841,169,983.20/214,495.19
  6. Step 6: Final answer
    x = 162,433.34

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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.