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Finding the Fourth Proportional to 145,905.68, 201,365.34 and 85,527.07

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Solution

The fourth proportional to 145,905.68, 201,365.34 and 85,527.07 is: 118,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,905.68 : 201,365.34 = 85,527.07 : x
  2. Step 2: Convert to fraction form
    145,905.68/201,365.34 = 85,527.07/x
  3. Step 3: Cross multiply
    145,905.68x = 201,365.34 × 85,527.07
  4. Step 4: Simplify right side
    145,905.68x = 17,222,187,529.75
  5. Step 5: Solve for x
    x = 17,222,187,529.75/145,905.68
  6. Step 6: Final answer
    x = 118,036.44

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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.