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Finding the Fourth Proportional to 142,382.70, 213,574.05 and 142,382.70

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Solution

The fourth proportional to 142,382.70, 213,574.05 and 142,382.70 is: 213,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,382.70 : 213,574.05 = 142,382.70 : x
  2. Step 2: Convert to fraction form
    142,382.70/213,574.05 = 142,382.70/x
  3. Step 3: Cross multiply
    142,382.70x = 213,574.05 × 142,382.70
  4. Step 4: Simplify right side
    142,382.70x = 30,409,249,888.94
  5. Step 5: Solve for x
    x = 30,409,249,888.94/142,382.70
  6. Step 6: Final answer
    x = 213,574.05

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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.