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Finding the Fourth Proportional to 157,285.19, 217,055.40 and 85,665.80

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Solution

The fourth proportional to 157,285.19, 217,055.40 and 85,665.80 is: 118,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,285.19 : 217,055.40 = 85,665.80 : x
  2. Step 2: Convert to fraction form
    157,285.19/217,055.40 = 85,665.80/x
  3. Step 3: Cross multiply
    157,285.19x = 217,055.40 × 85,665.80
  4. Step 4: Simplify right side
    157,285.19x = 18,594,224,706.71
  5. Step 5: Solve for x
    x = 18,594,224,706.71/157,285.19
  6. Step 6: Final answer
    x = 118,219.80

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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.