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Finding the Fourth Proportional to 114,254, 157,688.31 and 65,195.71

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Solution

The fourth proportional to 114,254, 157,688.31 and 65,195.71 is: 89,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,254 : 157,688.31 = 65,195.71 : x
  2. Step 2: Convert to fraction form
    114,254/157,688.31 = 65,195.71/x
  3. Step 3: Cross multiply
    114,254x = 157,688.31 × 65,195.71
  4. Step 4: Simplify right side
    114,254x = 10,280,601,329.15
  5. Step 5: Solve for x
    x = 10,280,601,329.15/114,254
  6. Step 6: Final answer
    x = 89,980.23

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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.