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Finding the Fourth Proportional to 163,043.88, 224,905.23 and 102,518.70

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Solution

The fourth proportional to 163,043.88, 224,905.23 and 102,518.70 is: 141,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,043.88 : 224,905.23 = 102,518.70 : x
  2. Step 2: Convert to fraction form
    163,043.88/224,905.23 = 102,518.70/x
  3. Step 3: Cross multiply
    163,043.88x = 224,905.23 × 102,518.70
  4. Step 4: Simplify right side
    163,043.88x = 23,056,991,802.80
  5. Step 5: Solve for x
    x = 23,056,991,802.80/163,043.88
  6. Step 6: Final answer
    x = 141,415.87

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1.5x scale

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.