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Finding the Fourth Proportional to 102,526.80, 153,833.40 and 55,813.20

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Solution

The fourth proportional to 102,526.80, 153,833.40 and 55,813.20 is: 83,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,526.80 : 153,833.40 = 55,813.20 : x
  2. Step 2: Convert to fraction form
    102,526.80/153,833.40 = 55,813.20/x
  3. Step 3: Cross multiply
    102,526.80x = 153,833.40 × 55,813.20
  4. Step 4: Simplify right side
    102,526.80x = 8,585,934,320.88
  5. Step 5: Solve for x
    x = 8,585,934,320.88/102,526.80
  6. Step 6: Final answer
    x = 83,743.32

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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.