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Finding the Fourth Proportional to 130,858.50, 180,584.74 and 71,242.50

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Solution

The fourth proportional to 130,858.50, 180,584.74 and 71,242.50 is: 98,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,858.50 : 180,584.74 = 71,242.50 : x
  2. Step 2: Convert to fraction form
    130,858.50/180,584.74 = 71,242.50/x
  3. Step 3: Cross multiply
    130,858.50x = 180,584.74 × 71,242.50
  4. Step 4: Simplify right side
    130,858.50x = 12,865,308,339.45
  5. Step 5: Solve for x
    x = 12,865,308,339.45/130,858.50
  6. Step 6: Final answer
    x = 98,314.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.