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Finding the Fourth Proportional to 142,574.80, 213,862.20 and 102,485.20

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Solution

The fourth proportional to 142,574.80, 213,862.20 and 102,485.20 is: 153,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574.80 : 213,862.20 = 102,485.20 : x
  2. Step 2: Convert to fraction form
    142,574.80/213,862.20 = 102,485.20/x
  3. Step 3: Cross multiply
    142,574.80x = 213,862.20 × 102,485.20
  4. Step 4: Simplify right side
    142,574.80x = 21,917,710,339.44
  5. Step 5: Solve for x
    x = 21,917,710,339.44/142,574.80
  6. Step 6: Final answer
    x = 153,727.80

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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.