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Finding the Fourth Proportional to 142,866.10, 199,750.10 and 142,866.10

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Solution

The fourth proportional to 142,866.10, 199,750.10 and 142,866.10 is: 199,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,866.10 : 199,750.10 = 142,866.10 : x
  2. Step 2: Convert to fraction form
    142,866.10/199,750.10 = 142,866.10/x
  3. Step 3: Cross multiply
    142,866.10x = 199,750.10 × 142,866.10
  4. Step 4: Simplify right side
    142,866.10x = 28,537,517,761.61
  5. Step 5: Solve for x
    x = 28,537,517,761.61/142,866.10
  6. Step 6: Final answer
    x = 199,750.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.