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Finding the Fourth Proportional to 185,132.64, 277,689.73 and 65,195.51

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Solution

The fourth proportional to 185,132.64, 277,689.73 and 65,195.51 is: 97,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,132.64 : 277,689.73 = 65,195.51 : x
  2. Step 2: Convert to fraction form
    185,132.64/277,689.73 = 65,195.51/x
  3. Step 3: Cross multiply
    185,132.64x = 277,689.73 × 65,195.51
  4. Step 4: Simplify right side
    185,132.64x = 18,104,123,569.11
  5. Step 5: Solve for x
    x = 18,104,123,569.11/185,132.64
  6. Step 6: Final answer
    x = 97,790.01

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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.