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Finding the Fourth Proportional to 201,894.40, 302,501.40 and 159,612.40

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Solution

The fourth proportional to 201,894.40, 302,501.40 and 159,612.40 is: 239,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894.40 : 302,501.40 = 159,612.40 : x
  2. Step 2: Convert to fraction form
    201,894.40/302,501.40 = 159,612.40/x
  3. Step 3: Cross multiply
    201,894.40x = 302,501.40 × 159,612.40
  4. Step 4: Simplify right side
    201,894.40x = 48,282,974,457.36
  5. Step 5: Solve for x
    x = 48,282,974,457.36/201,894.40
  6. Step 6: Final answer
    x = 239,149.65

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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.