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Finding the Fourth Proportional to 215,264.80, 322,897.20 and 188,999.20

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Solution

The fourth proportional to 215,264.80, 322,897.20 and 188,999.20 is: 283,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,264.80 : 322,897.20 = 188,999.20 : x
  2. Step 2: Convert to fraction form
    215,264.80/322,897.20 = 188,999.20/x
  3. Step 3: Cross multiply
    215,264.80x = 322,897.20 × 188,999.20
  4. Step 4: Simplify right side
    215,264.80x = 61,027,312,482.24
  5. Step 5: Solve for x
    x = 61,027,312,482.24/215,264.80
  6. Step 6: Final answer
    x = 283,498.80

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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.