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Finding the Fourth Proportional to 153,929.20, 230,893.80 and 146,712.10

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Solution

The fourth proportional to 153,929.20, 230,893.80 and 146,712.10 is: 220,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,929.20 : 230,893.80 = 146,712.10 : x
  2. Step 2: Convert to fraction form
    153,929.20/230,893.80 = 146,712.10/x
  3. Step 3: Cross multiply
    153,929.20x = 230,893.80 × 146,712.10
  4. Step 4: Simplify right side
    153,929.20x = 33,874,914,274.98
  5. Step 5: Solve for x
    x = 33,874,914,274.98/153,929.20
  6. Step 6: Final answer
    x = 220,068.15

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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.