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Finding the Fourth Proportional to 152,274.72, 210,139.60 and 85,206.56

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Solution

The fourth proportional to 152,274.72, 210,139.60 and 85,206.56 is: 117,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,274.72 : 210,139.60 = 85,206.56 : x
  2. Step 2: Convert to fraction form
    152,274.72/210,139.60 = 85,206.56/x
  3. Step 3: Cross multiply
    152,274.72x = 210,139.60 × 85,206.56
  4. Step 4: Simplify right side
    152,274.72x = 17,905,272,435.78
  5. Step 5: Solve for x
    x = 17,905,272,435.78/152,274.72
  6. Step 6: Final answer
    x = 117,585.32

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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.