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Finding the Fourth Proportional to 152,883.96, 210,957.02 and 85,803

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Solution

The fourth proportional to 152,883.96, 210,957.02 and 85,803 is: 118,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,883.96 : 210,957.02 = 85,803 : x
  2. Step 2: Convert to fraction form
    152,883.96/210,957.02 = 85,803/x
  3. Step 3: Cross multiply
    152,883.96x = 210,957.02 × 85,803
  4. Step 4: Simplify right side
    152,883.96x = 18,100,745,187.06
  5. Step 5: Solve for x
    x = 18,100,745,187.06/152,883.96
  6. Step 6: Final answer
    x = 118,395.32

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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.