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Finding the Fourth Proportional to 201,746.60, 302,360.70 and 83,499.56

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Solution

The fourth proportional to 201,746.60, 302,360.70 and 83,499.56 is: 125,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,746.60 : 302,360.70 = 83,499.56 : x
  2. Step 2: Convert to fraction form
    201,746.60/302,360.70 = 83,499.56/x
  3. Step 3: Cross multiply
    201,746.60x = 302,360.70 × 83,499.56
  4. Step 4: Simplify right side
    201,746.60x = 25,246,985,411.29
  5. Step 5: Solve for x
    x = 25,246,985,411.29/201,746.60
  6. Step 6: Final answer
    x = 125,142.06

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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.