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Finding the Fourth Proportional to 102,706.60, 153,887.10 and 96,485.80

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Solution

The fourth proportional to 102,706.60, 153,887.10 and 96,485.80 is: 144,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.60 : 153,887.10 = 96,485.80 : x
  2. Step 2: Convert to fraction form
    102,706.60/153,887.10 = 96,485.80/x
  3. Step 3: Cross multiply
    102,706.60x = 153,887.10 × 96,485.80
  4. Step 4: Simplify right side
    102,706.60x = 14,847,919,953.18
  5. Step 5: Solve for x
    x = 14,847,919,953.18/102,706.60
  6. Step 6: Final answer
    x = 144,566.37

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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.