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Finding the Fourth Proportional to 210,295.57, 290,212.86 and 114,802.98

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Solution

The fourth proportional to 210,295.57, 290,212.86 and 114,802.98 is: 158,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,295.57 : 290,212.86 = 114,802.98 : x
  2. Step 2: Convert to fraction form
    210,295.57/290,212.86 = 114,802.98/x
  3. Step 3: Cross multiply
    210,295.57x = 290,212.86 × 114,802.98
  4. Step 4: Simplify right side
    210,295.57x = 33,317,301,162.32
  5. Step 5: Solve for x
    x = 33,317,301,162.32/210,295.57
  6. Step 6: Final answer
    x = 158,430.83

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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.