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Finding the Fourth Proportional to 210,295.32, 290,212.52 and 114,802.74

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Solution

The fourth proportional to 210,295.32, 290,212.52 and 114,802.74 is: 158,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,295.32 : 290,212.52 = 114,802.74 : x
  2. Step 2: Convert to fraction form
    210,295.32/290,212.52 = 114,802.74/x
  3. Step 3: Cross multiply
    210,295.32x = 290,212.52 × 114,802.74
  4. Step 4: Simplify right side
    210,295.32x = 33,317,190,453.23
  5. Step 5: Solve for x
    x = 33,317,190,453.23/210,295.32
  6. Step 6: Final answer
    x = 158,430.49

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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.