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Finding the Fourth Proportional to 104,959.30, 157,438.95 and 96,101.95

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Solution

The fourth proportional to 104,959.30, 157,438.95 and 96,101.95 is: 144,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,959.30 : 157,438.95 = 96,101.95 : x
  2. Step 2: Convert to fraction form
    104,959.30/157,438.95 = 96,101.95/x
  3. Step 3: Cross multiply
    104,959.30x = 157,438.95 × 96,101.95
  4. Step 4: Simplify right side
    104,959.30x = 15,130,190,100.95
  5. Step 5: Solve for x
    x = 15,130,190,100.95/104,959.30
  6. Step 6: Final answer
    x = 144,152.93

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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.