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Finding the Fourth Proportional to 195,107.90, 292,484.34 and 75,088.31

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Solution

The fourth proportional to 195,107.90, 292,484.34 and 75,088.31 is: 112,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,107.90 : 292,484.34 = 75,088.31 : x
  2. Step 2: Convert to fraction form
    195,107.90/292,484.34 = 75,088.31/x
  3. Step 3: Cross multiply
    195,107.90x = 292,484.34 × 75,088.31
  4. Step 4: Simplify right side
    195,107.90x = 21,962,153,329.64
  5. Step 5: Solve for x
    x = 21,962,153,329.64/195,107.90
  6. Step 6: Final answer
    x = 112,564.14

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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.