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Finding the Fourth Proportional to 142,798.58, 213,798.51 and 107,628.02

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Solution

The fourth proportional to 142,798.58, 213,798.51 and 107,628.02 is: 161,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,798.58 : 213,798.51 = 107,628.02 : x
  2. Step 2: Convert to fraction form
    142,798.58/213,798.51 = 107,628.02/x
  3. Step 3: Cross multiply
    142,798.58x = 213,798.51 × 107,628.02
  4. Step 4: Simplify right side
    142,798.58x = 23,010,710,310.25
  5. Step 5: Solve for x
    x = 23,010,710,310.25/142,798.58
  6. Step 6: Final answer
    x = 161,141.03

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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.