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Finding the Fourth Proportional to 464,095.71, 696,144.17 and 127,139.32

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Solution

The fourth proportional to 464,095.71, 696,144.17 and 127,139.32 is: 190,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,095.71 : 696,144.17 = 127,139.32 : x
  2. Step 2: Convert to fraction form
    464,095.71/696,144.17 = 127,139.32/x
  3. Step 3: Cross multiply
    464,095.71x = 696,144.17 × 127,139.32
  4. Step 4: Simplify right side
    464,095.71x = 88,507,297,583.79
  5. Step 5: Solve for x
    x = 88,507,297,583.79/464,095.71
  6. Step 6: Final answer
    x = 190,709.15

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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.