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Finding the Fourth Proportional to 201,368, 302,052.96 and 53,624

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Solution

The fourth proportional to 201,368, 302,052.96 and 53,624 is: 80,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,368 : 302,052.96 = 53,624 : x
  2. Step 2: Convert to fraction form
    201,368/302,052.96 = 53,624/x
  3. Step 3: Cross multiply
    201,368x = 302,052.96 × 53,624
  4. Step 4: Simplify right side
    201,368x = 16,197,287,927.04
  5. Step 5: Solve for x
    x = 16,197,287,927.04/201,368
  6. Step 6: Final answer
    x = 80,436.26

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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.