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Finding the Fourth Proportional to 210,294.82, 290,211.83 and 114,802.24

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Solution

The fourth proportional to 210,294.82, 290,211.83 and 114,802.24 is: 158,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,294.82 : 290,211.83 = 114,802.24 : x
  2. Step 2: Convert to fraction form
    210,294.82/290,211.83 = 114,802.24/x
  3. Step 3: Cross multiply
    210,294.82x = 290,211.83 × 114,802.24
  4. Step 4: Simplify right side
    210,294.82x = 33,316,966,133.43
  5. Step 5: Solve for x
    x = 33,316,966,133.43/210,294.82
  6. Step 6: Final answer
    x = 158,429.80

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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.