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Finding the Fourth Proportional to 155,216.34, 232,724.34 and 74,119.50

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Solution

The fourth proportional to 155,216.34, 232,724.34 and 74,119.50 is: 111,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,216.34 : 232,724.34 = 74,119.50 : x
  2. Step 2: Convert to fraction form
    155,216.34/232,724.34 = 74,119.50/x
  3. Step 3: Cross multiply
    155,216.34x = 232,724.34 × 74,119.50
  4. Step 4: Simplify right side
    155,216.34x = 17,249,411,718.63
  5. Step 5: Solve for x
    x = 17,249,411,718.63/155,216.34
  6. Step 6: Final answer
    x = 111,131.42

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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.