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Finding the Fourth Proportional to 97,460.69, 134,494.63 and 57,166.70

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Solution

The fourth proportional to 97,460.69, 134,494.63 and 57,166.70 is: 78,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,460.69 : 134,494.63 = 57,166.70 : x
  2. Step 2: Convert to fraction form
    97,460.69/134,494.63 = 57,166.70/x
  3. Step 3: Cross multiply
    97,460.69x = 134,494.63 × 57,166.70
  4. Step 4: Simplify right side
    97,460.69x = 7,688,613,349.43
  5. Step 5: Solve for x
    x = 7,688,613,349.43/97,460.69
  6. Step 6: Final answer
    x = 78,889.38

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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.