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Finding the Fourth Proportional to 107,283.78, 148,051.98 and 59,544

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Solution

The fourth proportional to 107,283.78, 148,051.98 and 59,544 is: 82,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,283.78 : 148,051.98 = 59,544 : x
  2. Step 2: Convert to fraction form
    107,283.78/148,051.98 = 59,544/x
  3. Step 3: Cross multiply
    107,283.78x = 148,051.98 × 59,544
  4. Step 4: Simplify right side
    107,283.78x = 8,815,607,097.12
  5. Step 5: Solve for x
    x = 8,815,607,097.12/107,283.78
  6. Step 6: Final answer
    x = 82,170.92

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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.