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Finding the Fourth Proportional to 154,955.14, 232,407.19 and 144,868.21

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Solution

The fourth proportional to 154,955.14, 232,407.19 and 144,868.21 is: 217,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,955.14 : 232,407.19 = 144,868.21 : x
  2. Step 2: Convert to fraction form
    154,955.14/232,407.19 = 144,868.21/x
  3. Step 3: Cross multiply
    154,955.14x = 232,407.19 × 144,868.21
  4. Step 4: Simplify right side
    154,955.14x = 33,668,413,206.50
  5. Step 5: Solve for x
    x = 33,668,413,206.50/154,955.14
  6. Step 6: Final answer
    x = 217,278.46

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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.