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Finding the Fourth Proportional to 310,665.66, 466,043.85 and 121,091.10

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Solution

The fourth proportional to 310,665.66, 466,043.85 and 121,091.10 is: 181,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,665.66 : 466,043.85 = 121,091.10 : x
  2. Step 2: Convert to fraction form
    310,665.66/466,043.85 = 121,091.10/x
  3. Step 3: Cross multiply
    310,665.66x = 466,043.85 × 121,091.10
  4. Step 4: Simplify right side
    310,665.66x = 56,433,762,444.74
  5. Step 5: Solve for x
    x = 56,433,762,444.74/310,665.66
  6. Step 6: Final answer
    x = 181,654.33

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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.