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Finding the Fourth Proportional to 180,658.81, 270,772.93 and 74,038.46

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Solution

The fourth proportional to 180,658.81, 270,772.93 and 74,038.46 is: 110,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,658.81 : 270,772.93 = 74,038.46 : x
  2. Step 2: Convert to fraction form
    180,658.81/270,772.93 = 74,038.46/x
  3. Step 3: Cross multiply
    180,658.81x = 270,772.93 × 74,038.46
  4. Step 4: Simplify right side
    180,658.81x = 20,047,609,069.10
  5. Step 5: Solve for x
    x = 20,047,609,069.10/180,658.81
  6. Step 6: Final answer
    x = 110,969.45

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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.