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Finding the Fourth Proportional to 180,124.65, 270,192.47 and 61,794.32

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Solution

The fourth proportional to 180,124.65, 270,192.47 and 61,794.32 is: 92,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,124.65 : 270,192.47 = 61,794.32 : x
  2. Step 2: Convert to fraction form
    180,124.65/270,192.47 = 61,794.32/x
  3. Step 3: Cross multiply
    180,124.65x = 270,192.47 × 61,794.32
  4. Step 4: Simplify right side
    180,124.65x = 16,696,358,292.84
  5. Step 5: Solve for x
    x = 16,696,358,292.84/180,124.65
  6. Step 6: Final answer
    x = 92,693.36

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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.