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Finding the Fourth Proportional to 310,751.36, 466,127.28 and 133,143.20

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Solution

The fourth proportional to 310,751.36, 466,127.28 and 133,143.20 is: 199,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,751.36 : 466,127.28 = 133,143.20 : x
  2. Step 2: Convert to fraction form
    310,751.36/466,127.28 = 133,143.20/x
  3. Step 3: Cross multiply
    310,751.36x = 466,127.28 × 133,143.20
  4. Step 4: Simplify right side
    310,751.36x = 62,061,677,666.50
  5. Step 5: Solve for x
    x = 62,061,677,666.50/310,751.36
  6. Step 6: Final answer
    x = 199,714.90

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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.