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Finding the Fourth Proportional to 201,802.10, 302,767.95 and 89,438.90

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Solution

The fourth proportional to 201,802.10, 302,767.95 and 89,438.90 is: 134,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,802.10 : 302,767.95 = 89,438.90 : x
  2. Step 2: Convert to fraction form
    201,802.10/302,767.95 = 89,438.90/x
  3. Step 3: Cross multiply
    201,802.10x = 302,767.95 × 89,438.90
  4. Step 4: Simplify right side
    201,802.10x = 27,079,232,403.26
  5. Step 5: Solve for x
    x = 27,079,232,403.26/201,802.10
  6. Step 6: Final answer
    x = 134,187.07

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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.