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Finding the Fourth Proportional to 100,594.29, 150,946.65 and 61,179.06

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Solution

The fourth proportional to 100,594.29, 150,946.65 and 61,179.06 is: 91,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,594.29 : 150,946.65 = 61,179.06 : x
  2. Step 2: Convert to fraction form
    100,594.29/150,946.65 = 61,179.06/x
  3. Step 3: Cross multiply
    100,594.29x = 150,946.65 × 61,179.06
  4. Step 4: Simplify right side
    100,594.29x = 9,234,774,157.15
  5. Step 5: Solve for x
    x = 9,234,774,157.15/100,594.29
  6. Step 6: Final answer
    x = 91,802.17

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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.