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Finding the Fourth Proportional to 145,263, 200,473.89 and 88,685.31

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Solution

The fourth proportional to 145,263, 200,473.89 and 88,685.31 is: 122,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,263 : 200,473.89 = 88,685.31 : x
  2. Step 2: Convert to fraction form
    145,263/200,473.89 = 88,685.31/x
  3. Step 3: Cross multiply
    145,263x = 200,473.89 × 88,685.31
  4. Step 4: Simplify right side
    145,263x = 17,779,089,081.56
  5. Step 5: Solve for x
    x = 17,779,089,081.56/145,263
  6. Step 6: Final answer
    x = 122,392.41

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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.