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Finding the Fourth Proportional to 464,089.82, 696,135.32 and 127,133.42

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Solution

The fourth proportional to 464,089.82, 696,135.32 and 127,133.42 is: 190,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,089.82 : 696,135.32 = 127,133.42 : x
  2. Step 2: Convert to fraction form
    464,089.82/696,135.32 = 127,133.42/x
  3. Step 3: Cross multiply
    464,089.82x = 696,135.32 × 127,133.42
  4. Step 4: Simplify right side
    464,089.82x = 88,502,064,014.39
  5. Step 5: Solve for x
    x = 88,502,064,014.39/464,089.82
  6. Step 6: Final answer
    x = 190,700.29

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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.