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Finding the Fourth Proportional to 107,225.16, 147,988.44 and 59,493.89

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Solution

The fourth proportional to 107,225.16, 147,988.44 and 59,493.89 is: 82,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,225.16 : 147,988.44 = 59,493.89 : x
  2. Step 2: Convert to fraction form
    107,225.16/147,988.44 = 59,493.89/x
  3. Step 3: Cross multiply
    107,225.16x = 147,988.44 × 59,493.89
  4. Step 4: Simplify right side
    107,225.16x = 8,804,407,230.69
  5. Step 5: Solve for x
    x = 8,804,407,230.69/107,225.16
  6. Step 6: Final answer
    x = 82,111.39

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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.