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Finding the Fourth Proportional to 202,901.58, 304,103.10 and 113,968.14

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Solution

The fourth proportional to 202,901.58, 304,103.10 and 113,968.14 is: 170,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,901.58 : 304,103.10 = 113,968.14 : x
  2. Step 2: Convert to fraction form
    202,901.58/304,103.10 = 113,968.14/x
  3. Step 3: Cross multiply
    202,901.58x = 304,103.10 × 113,968.14
  4. Step 4: Simplify right side
    202,901.58x = 34,658,064,675.23
  5. Step 5: Solve for x
    x = 34,658,064,675.23/202,901.58
  6. Step 6: Final answer
    x = 170,812.20

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1.5x scale

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.