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Finding the Fourth Proportional to 201,837.40, 302,756.10 and 96,602.20

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Solution

The fourth proportional to 201,837.40, 302,756.10 and 96,602.20 is: 144,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837.40 : 302,756.10 = 96,602.20 : x
  2. Step 2: Convert to fraction form
    201,837.40/302,756.10 = 96,602.20/x
  3. Step 3: Cross multiply
    201,837.40x = 302,756.10 × 96,602.20
  4. Step 4: Simplify right side
    201,837.40x = 29,246,905,323.42
  5. Step 5: Solve for x
    x = 29,246,905,323.42/201,837.40
  6. Step 6: Final answer
    x = 144,903.30

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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.