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Finding the Fourth Proportional to 201,852.60, 302,633.10 and 113,133.30

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Solution

The fourth proportional to 201,852.60, 302,633.10 and 113,133.30 is: 169,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852.60 : 302,633.10 = 113,133.30 : x
  2. Step 2: Convert to fraction form
    201,852.60/302,633.10 = 113,133.30/x
  3. Step 3: Cross multiply
    201,852.60x = 302,633.10 × 113,133.30
  4. Step 4: Simplify right side
    201,852.60x = 34,237,881,292.23
  5. Step 5: Solve for x
    x = 34,237,881,292.23/201,852.60
  6. Step 6: Final answer
    x = 169,618.23

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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.