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Finding the Fourth Proportional to 201,790.16, 302,643.90 and 75,407.08

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Solution

The fourth proportional to 201,790.16, 302,643.90 and 75,407.08 is: 113,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,790.16 : 302,643.90 = 75,407.08 : x
  2. Step 2: Convert to fraction form
    201,790.16/302,643.90 = 75,407.08/x
  3. Step 3: Cross multiply
    201,790.16x = 302,643.90 × 75,407.08
  4. Step 4: Simplify right side
    201,790.16x = 22,821,492,778.81
  5. Step 5: Solve for x
    x = 22,821,492,778.81/201,790.16
  6. Step 6: Final answer
    x = 113,095.17

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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.