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Finding the Fourth Proportional to 157,830.10, 217,810.78 and 86,216.80

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Solution

The fourth proportional to 157,830.10, 217,810.78 and 86,216.80 is: 118,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,830.10 : 217,810.78 = 86,216.80 : x
  2. Step 2: Convert to fraction form
    157,830.10/217,810.78 = 86,216.80/x
  3. Step 3: Cross multiply
    157,830.10x = 217,810.78 × 86,216.80
  4. Step 4: Simplify right side
    157,830.10x = 18,778,948,457.10
  5. Step 5: Solve for x
    x = 18,778,948,457.10/157,830.10
  6. Step 6: Final answer
    x = 118,982.05

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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.