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Finding the Fourth Proportional to 203,486.64, 304,934.04 and 98,182.32

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Solution

The fourth proportional to 203,486.64, 304,934.04 and 98,182.32 is: 147,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.64 : 304,934.04 = 98,182.32 : x
  2. Step 2: Convert to fraction form
    203,486.64/304,934.04 = 98,182.32/x
  3. Step 3: Cross multiply
    203,486.64x = 304,934.04 × 98,182.32
  4. Step 4: Simplify right side
    203,486.64x = 29,939,131,494.17
  5. Step 5: Solve for x
    x = 29,939,131,494.17/203,486.64
  6. Step 6: Final answer
    x = 147,130.70

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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.