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Finding the Fourth Proportional to 119,037, 164,270.59 and 65,322.93

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Solution

The fourth proportional to 119,037, 164,270.59 and 65,322.93 is: 90,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,037 : 164,270.59 = 65,322.93 : x
  2. Step 2: Convert to fraction form
    119,037/164,270.59 = 65,322.93/x
  3. Step 3: Cross multiply
    119,037x = 164,270.59 × 65,322.93
  4. Step 4: Simplify right side
    119,037x = 10,730,636,251.63
  5. Step 5: Solve for x
    x = 10,730,636,251.63/119,037
  6. Step 6: Final answer
    x = 90,145.39

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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.