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Finding the Fourth Proportional to 107,571.06, 148,345.02 and 71,214.93

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Solution

The fourth proportional to 107,571.06, 148,345.02 and 71,214.93 is: 98,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,571.06 : 148,345.02 = 71,214.93 : x
  2. Step 2: Convert to fraction form
    107,571.06/148,345.02 = 71,214.93/x
  3. Step 3: Cross multiply
    107,571.06x = 148,345.02 × 71,214.93
  4. Step 4: Simplify right side
    107,571.06x = 10,564,380,215.15
  5. Step 5: Solve for x
    x = 10,564,380,215.15/107,571.06
  6. Step 6: Final answer
    x = 98,208.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.