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Finding the Fourth Proportional to 180,013.77, 270,036.03 and 46,894.05

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Solution

The fourth proportional to 180,013.77, 270,036.03 and 46,894.05 is: 70,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,013.77 : 270,036.03 = 46,894.05 : x
  2. Step 2: Convert to fraction form
    180,013.77/270,036.03 = 46,894.05/x
  3. Step 3: Cross multiply
    180,013.77x = 270,036.03 × 46,894.05
  4. Step 4: Simplify right side
    180,013.77x = 12,663,083,092.62
  5. Step 5: Solve for x
    x = 12,663,083,092.62/180,013.77
  6. Step 6: Final answer
    x = 70,345.08

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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.