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Finding the Fourth Proportional to 155,969.25, 233,953.81 and 61,244.01

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Solution

The fourth proportional to 155,969.25, 233,953.81 and 61,244.01 is: 91,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,969.25 : 233,953.81 = 61,244.01 : x
  2. Step 2: Convert to fraction form
    155,969.25/233,953.81 = 61,244.01/x
  3. Step 3: Cross multiply
    155,969.25x = 233,953.81 × 61,244.01
  4. Step 4: Simplify right side
    155,969.25x = 14,328,269,479.18
  5. Step 5: Solve for x
    x = 14,328,269,479.18/155,969.25
  6. Step 6: Final answer
    x = 91,865.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.