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Finding the Fourth Proportional to 102,497.80, 153,602.70 and 81,473.80

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Solution

The fourth proportional to 102,497.80, 153,602.70 and 81,473.80 is: 122,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,497.80 : 153,602.70 = 81,473.80 : x
  2. Step 2: Convert to fraction form
    102,497.80/153,602.70 = 81,473.80/x
  3. Step 3: Cross multiply
    102,497.80x = 153,602.70 × 81,473.80
  4. Step 4: Simplify right side
    102,497.80x = 12,514,595,659.26
  5. Step 5: Solve for x
    x = 12,514,595,659.26/102,497.80
  6. Step 6: Final answer
    x = 122,096.24

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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.