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Finding the Fourth Proportional to 153,938.70, 230,908.05 and 144,024.30

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Solution

The fourth proportional to 153,938.70, 230,908.05 and 144,024.30 is: 216,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,938.70 : 230,908.05 = 144,024.30 : x
  2. Step 2: Convert to fraction form
    153,938.70/230,908.05 = 144,024.30/x
  3. Step 3: Cross multiply
    153,938.70x = 230,908.05 × 144,024.30
  4. Step 4: Simplify right side
    153,938.70x = 33,256,370,265.62
  5. Step 5: Solve for x
    x = 33,256,370,265.62/153,938.70
  6. Step 6: Final answer
    x = 216,036.45

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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.