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Finding the Fourth Proportional to 93,516.40, 140,274.60 and 83,407.60

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Solution

The fourth proportional to 93,516.40, 140,274.60 and 83,407.60 is: 125,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,516.40 : 140,274.60 = 83,407.60 : x
  2. Step 2: Convert to fraction form
    93,516.40/140,274.60 = 83,407.60/x
  3. Step 3: Cross multiply
    93,516.40x = 140,274.60 × 83,407.60
  4. Step 4: Simplify right side
    93,516.40x = 11,699,967,726.96
  5. Step 5: Solve for x
    x = 11,699,967,726.96/93,516.40
  6. Step 6: Final answer
    x = 125,111.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.