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Finding the Fourth Proportional to 202,984.10, 304,476.15 and 98,008.10

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Solution

The fourth proportional to 202,984.10, 304,476.15 and 98,008.10 is: 147,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.10 : 304,476.15 = 98,008.10 : x
  2. Step 2: Convert to fraction form
    202,984.10/304,476.15 = 98,008.10/x
  3. Step 3: Cross multiply
    202,984.10x = 304,476.15 × 98,008.10
  4. Step 4: Simplify right side
    202,984.10x = 29,841,128,956.82
  5. Step 5: Solve for x
    x = 29,841,128,956.82/202,984.10
  6. Step 6: Final answer
    x = 147,012.15

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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.