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Finding the Fourth Proportional to 464,110.90, 696,166.99 and 127,154.48

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Solution

The fourth proportional to 464,110.90, 696,166.99 and 127,154.48 is: 190,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,110.90 : 696,166.99 = 127,154.48 : x
  2. Step 2: Convert to fraction form
    464,110.90/696,166.99 = 127,154.48/x
  3. Step 3: Cross multiply
    464,110.90x = 696,166.99 × 127,154.48
  4. Step 4: Simplify right side
    464,110.90x = 88,520,747,807.89
  5. Step 5: Solve for x
    x = 88,520,747,807.89/464,110.90
  6. Step 6: Final answer
    x = 190,731.89

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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.