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Finding the Fourth Proportional to 102,526.80, 153,646.20 and 81,502.80

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Solution

The fourth proportional to 102,526.80, 153,646.20 and 81,502.80 is: 122,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,526.80 : 153,646.20 = 81,502.80 : x
  2. Step 2: Convert to fraction form
    102,526.80/153,646.20 = 81,502.80/x
  3. Step 3: Cross multiply
    102,526.80x = 153,646.20 × 81,502.80
  4. Step 4: Simplify right side
    102,526.80x = 12,522,595,509.36
  5. Step 5: Solve for x
    x = 12,522,595,509.36/102,526.80
  6. Step 6: Final answer
    x = 122,139.73

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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.