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Finding the Fourth Proportional to 152,343.94, 210,233.46 and 84,360.64

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Solution

The fourth proportional to 152,343.94, 210,233.46 and 84,360.64 is: 116,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,343.94 : 210,233.46 = 84,360.64 : x
  2. Step 2: Convert to fraction form
    152,343.94/210,233.46 = 84,360.64/x
  3. Step 3: Cross multiply
    152,343.94x = 210,233.46 × 84,360.64
  4. Step 4: Simplify right side
    152,343.94x = 17,735,429,235.01
  5. Step 5: Solve for x
    x = 17,735,429,235.01/152,343.94
  6. Step 6: Final answer
    x = 116,417.03

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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.