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Finding the Fourth Proportional to 200,484.64, 299,895.87 and 152,738.47

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Solution

The fourth proportional to 200,484.64, 299,895.87 and 152,738.47 is: 228,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,484.64 : 299,895.87 = 152,738.47 : x
  2. Step 2: Convert to fraction form
    200,484.64/299,895.87 = 152,738.47/x
  3. Step 3: Cross multiply
    200,484.64x = 299,895.87 × 152,738.47
  4. Step 4: Simplify right side
    200,484.64x = 45,805,636,343.12
  5. Step 5: Solve for x
    x = 45,805,636,343.12/200,484.64
  6. Step 6: Final answer
    x = 228,474.54

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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.