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Finding the Fourth Proportional to 464,090.13, 696,135.81 and 127,133.78

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Solution

The fourth proportional to 464,090.13, 696,135.81 and 127,133.78 is: 190,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,090.13 : 696,135.81 = 127,133.78 : x
  2. Step 2: Convert to fraction form
    464,090.13/696,135.81 = 127,133.78/x
  3. Step 3: Cross multiply
    464,090.13x = 696,135.81 × 127,133.78
  4. Step 4: Simplify right side
    464,090.13x = 88,502,376,918.66
  5. Step 5: Solve for x
    x = 88,502,376,918.66/464,090.13
  6. Step 6: Final answer
    x = 190,700.84

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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.